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Q.

The LCM and HCF of 48, 72 and 108 by using prime factorization method is:


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a

L.C.M = 421 and H.C.F = 22

b

L.C.M = 439 and H.C.F = 52

c

L.C.M = 432 and H.C.F = 12

d

L.C.M = 422 and H.C.F = 42 

answer is C.

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Detailed Solution

Given 3 numbers 48, 72 and 108.
Prime factorization of 48, 72 and 108 is,
Question ImagePrime factors of 48, 72 and 108 are,
48=2×2×2×2×3 72=2×2×2×3×3 108=2×2×3×3×3   The L.C.M of 48, 72 and 108 is,
⇒2×2×2×2×3×3×3 ⇒432   The H.C.F of 48, 72 and 108 is,
⇒2×2×3 ⇒12   Therefore, L.C.M of 48, 72 and 108 is 432 and H.C.F is 12.
Hence, option 3 is correct.
 
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The LCM and HCF of 48, 72 and 108 by using prime factorization method is: