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22 April, 2010

Prime Factorisation

It is observed that 35= 5x7
It is observed that 1092 = 2x2x3x13x7
HCF (35,1092) = 7

LCM (35,1092)= 5460

LCM (35,1092) X HCF( 35,1092) = 35 X 1092

The Fundamental theorem of Arithmetic states that every composite number can be uniquely expressed as product of prime factors, apart from the order of factors.
Find the HCF and LCM of 65 and 90. Prime factors are shown below.

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