hcf and lcm of 48,72,60
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hcf and lcm of 48,72,60
hcf=2×2×3=12
LCM=720
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Answer:
HCF of given numbers is 12 and LCM of the given numbers is 720.
Step-by-step explanation:
Given Numbers are 48 , 72 and 60.
We have to find HCF and LCM of the given numbers.
HCF ( Highest Common Factor ) is the highest factor which is common in all given numbers. It is also know as greatest common Divisor that is GCD.
LCM ( Least Common Multiple ) is the Smallest Multiple which is common in all given number.
We use prime factorization method to find HCF and LCM,
48 = 2 × 3 × 2 × 2 × 2
72 = 3 × 3 × 2 × 2 × 2
60 = 2 × 3 × 2 × 5
HCF = 2 × 2 × 3 = 12
LCM = 2 × 2 × 3 × 2 × 2 × 3 × 5 = 720
Therefore, HCF of given numbers is 12 and LCM of the given numbers is 720.
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