Question

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:​

Answer 1

HCF × LCM = Product of given 2 nos

37 × LCM = 4107

LCM = 4107/37

=111

So.. the greater no: or LCM is 111

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Answer 2

Given :

Product of two numbers = 4107

HCF = 37

To Find :

The greater number

Solution :

Let the LCM is x

According to the given question

Product of two numbers = HCF x LCM

$= > 4107 = 37 \times x$

$= > x = \dfrac{4107}{37}$

$= > x = 111$

The greater number is 111.

Verify -

37 x 111 = 4107.

Hence, The greater number is 111.