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Find the LCM and HCF of the following integers by applying the prime factorsation method. 12,15 and 21
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Find the LCM and HCF of the following integers by applying the prime factorsation method. 12,15 and 21

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Answer for Find the LCM and HCF of the following integers by applying the prime factorsation method. 12,15 and 21
\(12=2\times 2\times 3\)
\(15=3\times 5\)
\(21=3\times 7\)
Here, 3 is common prime factor of the given numbers.
Hence, \(HCF(12,15,21)=3\)
LCM is product of the prime factors\(2\times 2\times 3\times 7\times 5\)
The common factor 3 is repeated three times, but 3 in multiplication is written once.
LCM\((12,15,21)=420\)
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