What is the LCM of 8 and 12=_______?,Answer the given question by selecting proper alternative.
(A) 8
(B) 12
(C) 96
(D) 24
Answers
Answered by
1
(D) 24
Hope it helps u.
hausilayadav1977:
D is also right
Answered by
1
Option ( D ) is correct.
Explanation :
We have
8 = 2×2×2 = 2³
12 = 2×2×3 = 2² × 3¹
LCM ( 8 , 12 ) = 2³ × 3
[ Product of the greatest power of
each prime factors of the numbers ]
= 8 × 3
= 24
Therefore ,
LCM( 8 , 12 ) = 24
••••
Explanation :
We have
8 = 2×2×2 = 2³
12 = 2×2×3 = 2² × 3¹
LCM ( 8 , 12 ) = 2³ × 3
[ Product of the greatest power of
each prime factors of the numbers ]
= 8 × 3
= 24
Therefore ,
LCM( 8 , 12 ) = 24
••••
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