Question

How do you find the least common multiple of 35 and 168?

Answer 1

`L.C.M = 2 xx 2 xx 2 xx 3 xx 5 xx 7 = 840`

Explanation:

Multiples of `35 = 5 xx 7`

Multiples of `168 = 2 xx 2 xx 2 xx 3 xx 5 xx 7`

Remember `color(red)5 and color(blue)7` are also multiples of `35`

Hence we'll use `-> 2 xx 2 xx 2 xx 3 xx 5 xx 7` as the L.C.M of `35 and 168`..

Graphical Representation