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You find multiples of a number by multiplying it by successive counting numbers.
The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.
You find the LCM of two numbers by comparing their prime factorizations.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
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What are the multiples of 4 6 and 8?
LCM = 24
What is the common multiple of 15 30 and 45?
There are infinite common multiples for a set of numbers. So it is not possible to write down all the common multiples. Some common multiples of 15, 30 and 45 are 90, 180, 270, 360,... There is another way to find common multiples: Write the multiples of LCM(15, 30, 45). Actually the common multiples of a set of numbers are the multiples of their LCM. LCM of 15, 30 and 45 is 90. And the multiples of 90 are 90, 180, 270, 360, 450, 540,... which are the common multiples of 15, 30 and 45.
Least Common Multiples of 35 and 75?
The LCM is: 525
What are the least common multiples of 36 64 112?
The LCM is 4032.
What are the common multiples of 3 and 16?
The common multiples of 3 and 16 are all multiples of their LCM, which is 48. Thus, their common multiples are 48, 96, 144, 192, 240, 288, etc.
