Question

The ratio of two number is 4:5 and hcf 8

Answer 1

Correct Question :

The ratio of two numbers is 4:5 and HCF is 8. Then, find LCM.

Solution :

• Let LCM be 'M'.

___________ [ ASSUME ]

First number = 4 and another number = 5

___________ [ GIVEN ]

We know that..

》 Product of two numbers = LCM × HCF

Put the known values in above formula

=> 4 × 5 = M × 8

=> 20 = 8M

=> 8M = 20

=> M = $\dfrac{20}{8}$

=> M = 2.5

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LCM = 2.5

_____________ [ ANSWER ]

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☆ VERIFICATION :

From above calculations we have M = 2.5

Aaccording to question we have two numbers = 4 and 5 & HCF = 8.

Product of two numbers = LCM × HCF

Put them in above formula

=> 4 × 5 = 8 × 2.5

=> 20 = 20

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