Least Common Multiple - ISEE Upper Level Mathematics Achievement
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30 is the least common mutiple of 10 and which of these numbers?
30 is the least common mutiple of 10 and which of these numbers?
9, 12, and 20 can be eliminated immediately, since none of these have 30 as a multiple \[30 divided by any of them yields a remainder\].
since 10 is a multiple of 5, so 5 can be eliminated.
The set of multiples of 10 is 
and the set of multiples of 15 is 
; since 30 is the smallest number that appears on both lists, 
.
9, 12, and 20 can be eliminated immediately, since none of these have 30 as a multiple \[30 divided by any of them yields a remainder\].
The set of multiples of 10 is
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What is the least common multiple of 16 and 20?
What is the least common multiple of 16 and 20?
is the lowest number that is a multiple of both 16 and 20, so we see which is the first number that appears in both lists of multiples.
The multiples of 16:
The multiples of 20:
The multiples of 16:
The multiples of 20:
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Which of the following is the least common multiple of 6, 9, and 12?
Which of the following is the least common multiple of 6, 9, and 12?
The least common multiple is the smallest number in value that is a multiple of all three of the numbers. The best way to find the least common multiple (LCM) is to make a quick list of the first few multiples of each number, and then identify the smallest number that is common to all three lists.
Multiples are numbers that you get when multiplying the original number by other numbers.
18 is an answer choice that is common to both 6 and 9, but it is not also a multiple of 12, so it is not correct.
The smallest value that is a common multiple of all three is 36, so this is the LCM.
While 648 is a multiple of all three numbers, it is not the least common multiple of the three numbers.
The least common multiple is the smallest number in value that is a multiple of all three of the numbers. The best way to find the least common multiple (LCM) is to make a quick list of the first few multiples of each number, and then identify the smallest number that is common to all three lists.
Multiples are numbers that you get when multiplying the original number by other numbers.
18 is an answer choice that is common to both 6 and 9, but it is not also a multiple of 12, so it is not correct.
The smallest value that is a common multiple of all three is 36, so this is the LCM.
While 648 is a multiple of all three numbers, it is not the least common multiple of the three numbers.
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This equation should be solved from left to right, finding the least common denominator for each pair. First we find the least common denominator of 
and 
, which is 
. The fractions then become 
and 
. 
is then subtracted from that sum:
This equation should be solved from left to right, finding the least common denominator for each pair. First we find the least common denominator of
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What is the least common multiple of 
and 
?
What is the least common multiple of
Find all of the factors of both 9 and 6:
Eliminate all factors that 9 and 6 have in common, in this instance 3 (only eliminate the repeated instance). Multiply all factors that are not in common:
Find all of the factors of both 9 and 6:
Eliminate all factors that 9 and 6 have in common, in this instance 3 (only eliminate the repeated instance). Multiply all factors that are not in common:
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Which of the following values of 
makes this statement true?
Which of the following values of
For 
to be a true statement, 
must be a multiple of 
. Each of the four values given is divisible by 
, as seen below:
For
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Which of the following values of makes this statement false?
Which of the following values of
For 
to be true, 
must be a factor of 
. Of the five choices, all are factors of 
except for 
. This is the correct choice.
For
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Which of the following values of makes this statement true?
Which of the following values of
For 
to be a true statement, must be a multiple of 15.
Only 375 yields no remainder when divided by 15.
For
Only 375 yields no remainder when divided by 15.
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What is the least common multiple of 15 and 18?
What is the least common multiple of 15 and 18?
To find the least common multiple, you need to determine the multiple that both numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:
The LCM of 15 and 18 is 90 since it is the first number that shows up in both lists.
To find the least common multiple, you need to determine the multiple that both numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:
The LCM of 15 and 18 is 90 since it is the first number that shows up in both lists.
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What is the least common multiple of 4, 12, and 16?
What is the least common multiple of 4, 12, and 16?
To find the least common multiple, you need to determine the multiple that all three numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:
The LCM of 4, 12, and 16 is 48 since it is the first number that shows up in all three lists.
To find the least common multiple, you need to determine the multiple that all three numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:
The LCM of 4, 12, and 16 is 48 since it is the first number that shows up in all three lists.
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What is the least common multiple of 
and 
?
What is the least common multiple of
Find all of the multiples of both numbers:
Find the first number that both sets have in common.
Find all of the multiples of both numbers:
Find the first number that both sets have in common.
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What is the least common multiple of 
and 
?
What is the least common multiple of
A multiple of x is a number that results when x is multiplied by another whole number.
The least common multiple of two numbers is the smallest number that is a multiple of both the numbers.
24 is a multiple of 8 because 8 times 3 is 24.
24 is also a multiple of 12 because 12 times 2 is 24.
There are no numbers that are smaller than 24 which are also multiples of 8 and 12. Therefore, 24 is the least common multiple.
A multiple of x is a number that results when x is multiplied by another whole number.
The least common multiple of two numbers is the smallest number that is a multiple of both the numbers.
24 is a multiple of 8 because 8 times 3 is 24.
24 is also a multiple of 12 because 12 times 2 is 24.
There are no numbers that are smaller than 24 which are also multiples of 8 and 12. Therefore, 24 is the least common multiple.
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Find the LCM of 
and 
Find the LCM of
LCM is the least common multiple of the pair. There are a couple of terms at play here, so first find the LCM of 12 and 48. Since 12 goes into 48, 48 is the LCM. Then, look at xy and x. XY is the LCM between those two. So, multiply those together to get 
as your answer.
LCM is the least common multiple of the pair. There are a couple of terms at play here, so first find the LCM of 12 and 48. Since 12 goes into 48, 48 is the LCM. Then, look at xy and x. XY is the LCM between those two. So, multiply those together to get
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