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Question

The product of two numbers is 133848. If their HCF is 26, find their LCm.

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Solution

Product=133848
HCF=26
the numbers are of the form
26a, 26b
When a and b are coprime.
LCM of (26a,16b)=26ab
HCF × LCM = product of numbers.
26×26ab=133848
ab=133848676=198
ab=198
LCM=26ab=26×198=5148

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