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Q.

The LCM and HCF of 6, 72 and 120 by using prime factorization method is:


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a

L.C.M = 260 and H.C.F = 2

b

L.C.M = 360 and H.C.F = 6

c

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

d

L.C.M = 320 and H.C.F = 4 

answer is B.

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Detailed Solution

Given 3 numbers 6, 72 and 120.
Prime factorization of given numbers is,
Question ImagePrime factors of 6, 72, 120 are,
6=2×3 72=2×2×2×3×3 120=2×2×2×3×5   The L.C.M is,
⇒2​​×​​2​​×​​2​​×​​3​​×​​3​​×​​5 ⇒360  
The LCM of 6, 72 and 120 is 360.
The H.C.F is,
⇒2×3 ⇒6  
Therefore, L.C.M is 360 and H.C.F is 6.
Hence, option 2 is correct.
 
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