Question

The ratio of two numbers is 5 : 7 and their h.c.f, is 9. then their l.c.m. is

Answer 1

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Answer 2

Answer:

LCM = 315

Step-by-step explanation:

We know the that the product of two numbers is equal to the product of their lcm and hcf.

The ratio of the the numbers is 5:7. Hence, numbers are 5x and 7x.

The HCF of 5x and 7x is x. Therefore, x =9 since, hcf is given as 9.

Hence, the numbers are

5×9 = 45

7×9 = 63

Using the above relation

45×63 = LCM×9

LCM = 315