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Q.

The LCM and HCF of 36, 45 and 72 by using prime factorization method is:


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a

L.C.M = 230 and H.C.F = 5

b

L.C.M = 540 and H.C.F = 7

c

L.C.M = 230 and H.C.F = 2

d

L.C.M = 360 and H.C.F = 9 

answer is D.

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Detailed Solution

Given 3 numbers 36, 45 and 72.
Prime factorization of 36, 45, 72 is,
Question ImagePrime factors of 36, 45, 72 are,
36=2×2×3×3 45=3×3×5 72=2×2×2×3×3   The L.C.M of 36, 45, 72 is,
⇒2×2×2×3×3×5   ⇒   360
The H.C.F of 36, 45, 72 is,
⇒   3²
⇒   9
Therefore, L.C.M of 36, 45, 72 is 360 and H.C.F is 9.
Hence, option 4 is correct.
 
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