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If three numbers are in ratio of 5:7:9, and their LCM is 1260. Then Highest value number is -
Question

If three numbers are in ratio of 5:7:9, and their LCM is 1260. Then Highest value number is -

A.

63

B.

54

C.

45

D.

36

Correct option is D

Given:
The three numbers are in the ratio 5:7:9.
Their LCM is 1260.

Solution:

The three numbers are in the ratio 5:7:9.

Let the numbers be: 5, 7, and 9.

LCM (5x, 7x, 9x) = x × 315

x × 315 = 1260

x=1260315=4x = \frac{1260}{315} = 4

Now, the three numbers are:
5x = 5 ×\times​ 4 = 20,

7x = 7 ×\times​ 4 = 28,

9x = 9 ×\times​ 4 = 36

So, the highest value number is 36.

Thus, the correct answer is (d).

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