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LCM of two numbers is 78. Their GCD is 13. If one of the numbers is 26, then the other number is:
Question

LCM of two numbers is 78. Their GCD is 13. If one of the numbers is 26, then the other number is:

A.

39

B.

46

C.

13

D.

52

Correct option is A

Given:

LCM of two numbers = 78

GCD of two numbers = 13

One of the numbers = 26

Formula used:

LCM ×\times​ GCD = Number 1 ×\times Number 2
Solution:

78 ×\times 13 = 26 ×\times Number 2

1014 = 26 ×\times  Number 2

Number 2=101426=39\text{Number 2} = \frac{1014}{26} = 39​​

Thus, the second number is 39


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