Question

LCM of 2355,81256,3627

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Answer 1

Answer:

231351676920

Step-by-step explanation:

Factorize of the above numbers :

2355 = 3 • 5 • 157

81256 = 23 • 7 • 1451

3627 = 32 • 13 • 31

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

2355 Number

81256 Number

3627 L.C.M

(max)

2 0 3 0 3

3 1 0 2 2

5 1 0 0 1

7 0 1 0 1

13 0 0 1 1

31 0 0 1 1

157 1 0 0 1

1451 0 1 0 1

LCM = 23 • 32 • 5 • 7 • 13 • 31 • 157 • 1451

Least Common Multiple is :

231351676920

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