Question

The hcf of two numbers is 7 and the product of the numbers is 3430.finf the lcm of the numbers.

Answer 1

Given HCF = 7
Product of two numbers = 3430
To find : LCM

Product of 2 numbers = HCF*LCM
3430 = 7*LCM
LCM = 3430/7
LCM = 490

Answer 2

Given: The HCF of two numbers is $7$and the product of the numbers is$3430$.

We have to find the lcm of the numbers.

As we know that the product of the HCF and LCM of two numbers is equal to the product of the two numbers.

We are solving in the following way:

We have,

The HCF of two numbers is $7$and the product of the numbers is$3430$.

From the given statement we can write:

$=>HCF\times LCM=3430\\=>LCM\times 7=3430\\\\=>LCM=\frac{3430}{7} \\\\=>LCM=490$

Hence, the LCM of the above numbers is$490$.