Lufuno Lavhengwa
Feb 5
Find the HCF and LCM of 24 and 60?
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Feb 5
To find the highest common factor (HCF) and lowest common multiple (LCM) of 24 and 60, we can use prime factorization.
Prime factorization of 24:
24 = 2 * 2 * 2 * 3
Prime factorization of 60:
60 = 2 * 2 * 3 * 5
To find the HCF, we take the common prime factors with the lowest exponent:
HCF = 2 * 2 * 3 = 12
To find the LCM, we take all the prime factors with the highest exponent:
LCM = 2 * 2 * 2 * 3 * 5 = 120
Therefore, the HCF of 24 and 60 is 12, and the LCM is 120.
Prime factorization of 24:
24 = 2 * 2 * 2 * 3
Prime factorization of 60:
60 = 2 * 2 * 3 * 5
To find the HCF, we take the common prime factors with the lowest exponent:
HCF = 2 * 2 * 3 = 12
To find the LCM, we take all the prime factors with the highest exponent:
LCM = 2 * 2 * 2 * 3 * 5 = 120
Therefore, the HCF of 24 and 60 is 12, and the LCM is 120.
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