Question

. 32, 72, 144
Find the LCM using the prime factorisation method
please tell me the answer​

Answer 1

Answer:

Step by Step Solution

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Least Common Multiple is :

288

Calculate Least Common Multiple for :

32, 72 and 144

Factorize of the above numbers :

32 = 25

72 = 23 • 32

144 = 24 • 32

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

32 Number

72 Number

144 L.C.M

(max)

2 5 3 4 5

3 0 2 2 2

LCM = 25 • 32

Least Common Multiple is :

288

Answer 2

Answer:

32 = 2×2×2×2×2

72 = 2×2×2×3×3

144 = 2×2×2×2×3×3

LCM of 32 , 72 and 144 =

2×2×2×2×2×3×3 = 288

Thus the LCM of 32,72, and 144 is 288.