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LCM and HCF of two numbers are 154 and 7 respectively. If one of the numbers is 77, then find the other number.
Question

LCM and HCF of two numbers are 154 and 7 respectively. If one of the numbers is 77, then find the other number.

A.

16

B.

15

C.

13

D.

14

Correct option is D

Given:

LCM of two numbers = 154

HCF of two numbers = 7

One of the numbers = 77

Formula Used:

Product of two numbers = LCM × HCF

Solution:

Let the two numbers be 'a' and 'b'.

We are given that a = 77

Let the other number be 'b'.

Using the formula, a × b = LCM × HCF

77 × b = 154 × 7

b =(154×7)77\frac{(154 × 7) }{ 77}​​

b = 14

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