Find the HCF and LCM of 344 and 60 by the prime factorisation method

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Solution

Dear student,
The prime factorsation 344=2×2×2×43=2³×43
60=2×2×3×5=2² ×3×5

∴HCF(344,60)=2²

We know that, LCM(a,b)×HCF(a,b)=a×b

∴LCM(a,b)= (axb) /HCF(a, b)

LCM(344,60)= (344x60)/(2x2)

=5160
Regards

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