Question

(iv) 72 and 108 find the l.c.m and h.c.f of the following intergers by the prime factorization method​

Answer 1

Answer:

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Answer 2

Answer:

Expanding 72 as a product of Prime numbers using Prime factorization method,we get

72=2×2×2×3×3

72=2³×3².........(1)

Expanding 108 as a product of Prime numbers using Prime factorization method,we get

108=2×2×3×3×3......(2)

108=2²×3³

from using the equation (1)and equation (2)

L.C.M of 72 and 108 can be expressed as

=2×2×2×3×3×3=216

H.C.F of 72 and 108 can be expressed as

2×2×3×3=36

Thus L.C.M and H.C.F 72 and 108 are 216 and 36 respectively.

Step-by-step explanation:

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