Question

(03.01) Match the two numbers with their least common multiple (LCM). Match Term Definition 8 and 4 A) 24 8 and 6 B) 8 8 and 10 c) 40 Previous Question Question 1 (Not Answered)​

Answer 1

LCM of 8 and 4 =
`8`

LCM of 8 and 6
`=24`

LCM of 8 and 10 =
`40`

Explanation:

Least common multiple (LCM) of numbers is their smallest common multiple.

First find prime factorization of
`4,6,8,10`

`4=2^2\\6=2(3)\\8=2^3\\10=2(5)`

LCM of 8 and 4 =
`2^3=8`

LCM of 8 and 6
`=2^3(3)=8(3)=24`

LCM of 8 and 10 =
`2^3(5)=8(5)=40`