Question

How many least common mutiples of ten and twelve

Answer 1

The multiples of 10 are 10, 20, 30, 40, 50, 60, 70 etc.

The multiples of 12 are 12, 24, 36, 48, 60

The smallest number which is a multiple of both 10 and 12 is 60

Or express both numbers in prime factor form:

`\sf 10 =2*5`

`\sf 12=2*2*3`

2 is common to both so the LCM is
`\sf 2*2*3*5=\bold{60}`

Therefore, the Least Common Multiple (LCM) is 60.