Question

find LCM of 72 108 and 144 by common division​

Answer 1

Answer:

Step by Step Solution:

More Icon

Least Common Multiple is :

432

Calculate Least Common Multiple for :

72, 108 and 144

Factorize of the above numbers :

72 = 23 • 32

108 = 22 • 33

144 = 24 • 32

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

72 Number

108 Number

144 L.C.M

(max)

2 3 2 4 4

3 2 3 2 3

LCM = 24 • 33

Least Common Multiple is :

432

Answer 2

Given

72, 108 , 144

Explanation

Least Common Multiple is an abbreviation for "LCM". When you multiply a number by a whole number, you obtain a multiple (greater than 0). A factor is a number that is multiplied by a whole number to produce the desired result.

The prime factors common to one or the other are  2 , 2 , 3 ,3 , 2, 2, 3.

Thus the least common multiple will be 2x 2 x 3 x 3 x 2 x 2 x 3 = 432

Lcm of These number is 432

Refer this below image...