Question

.a. Find the LCM of the 45 and 70​

Answer 1

630.

Find the Prime factorization of 45, 3 x 3 x 5

Find the prime factorization of 70, 2 x 5 x7

Multiply each factor the greater number of times it occurs.

You get 630.

Answer 2

LCM of 45 and 70 :

= 45 ÷ 5 , 70 ÷ 5 ( Both the numbers are being divided by 5 ; which is their smallest common factor )

= 14 , 9

= 14 ÷ 14 , 9 ( We are dividing 14 by 14 as both 9 and 14 dont have have a common factor )

= 1 , 9

= 1 , 9 ÷ 3 ( 9 is being divided by 3 )

= 1 , 3

= 1 , 3 ÷ 3 ( 3 is being divided by 3 )

= 1 , 1

LCM of 45 and 70 = 5 × 14 × 3 × 3

LCM of 45 and 70 = 630

Therefore , the LCM of the 45 and 70 = 630 .