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If the Product of Two Numbers is 1080 and Their Hcf is 30, Find Their Lcm. - Mathematics

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Question

If the product of two numbers is 1080 and their HCF is 30, find their LCM.

Numerical

Solution

It is given that the product of two numbers is 1080.

Let the two numbers be a and b.

Therefore,

a x b = 1080

HCF is 30.

We need to find the LCM

We know that the product of two numbers is equal to the product of the HCF and LCM.

Thus,

`LCM= (axxb)/(HCF)`

`LCM = (1080)/30`

`LCM=36`

Hence the LCM is 36 .

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Chapter 1: Real Numbers - Exercise 1.7 [Page 57]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.7 | Q 7 | Page 57

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