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If the LCM of two numbers is 2079 and their HCF is 27 and if one of the numbers is 189, then find the other number.
Question

If the LCM of two numbers is 2079 and their HCF is 27 and if one of the numbers is 189, then find the other number.

A.

297

B.

792

C.

279

D.

927

Correct option is A

Given:
LCM = 2079
HCF = 27
One number = 189
Formula used:
HCF×LCM=Product of the two numbers27×2079=189×x\text{HCF} \times \text{LCM} = \text{Product of the two numbers} \\27 \times 2079 = 189 \times x​​
Solution:
27×2079=56133189x=56133x=56133189=29727 \times 2079 = 56133 \\189x = 56133 \\x = \frac{56133}{189} = 297​​
Therefore, the other number is  297.
Correct answer is (a) 297.​​

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