Example: 5 and 7
List the multiples of 5.
5, 10, 15, 20, 25, 30, 35, 40...
List the multiples of 7.
7, 14, 21, 28, 35, 42...
The LCM is the first number that appears on both lists.
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3/5 and 3/20you need to find the LCM of 5 and 20 multiples of 5: 0,5,10,15,20 multiples of 20: 0,20,40,60,80 the LCM of thedenominators,5 and 20, is 20
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.
4, 8, 12, 16, 20, 24, 2814, 28
4, 8, 12, 16, 20, 24, 2814, 28
The LCM of 28 and 42 is 84. Since y2 and x2 are multiples of y and x respectively, they are automatically the LCM. That makes the answer 84x2y2