find lcm of 48,60,72 by using prime factorization
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Answered by
12
48=12×4
=4×3×4
=2×2×2×2×3
60=12×5
=4×3×5
=2×2×3×5
72=12×6
=4×3×2×3
=2×2×2×3×3
LCM=2×2×2×2×3×3×5
=16×9×5
=80×9
=720
Answered by
8
Answer:
LCM of given numbers is 720.
Step-by-step explanation:
LCM ( Least Common Multiple ) is the Smallest Multiple which is common in all given number.
we need to find LCM of 48 , 72 & 60.
We use prime factorization method to find LCM,
48 = 2 × 3 × 2 × 2 × 2
72 = 3 × 3 × 2 × 2 × 2
60 = 2 × 3 × 2 × 5
LCM = 2 × 2 × 3 × 2 × 2 × 3 × 5 = 720
Therefore, LCM of given numbers is 720.
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