Question

Find LCM of a and b if ab = 1800 and HCF of a, b =15

Answer 1

Answer:

N1×N2=hcf(n1,n2)×lcm(n1,n2)

1800 = 15 ×lcm

1800/15=lcm

120=lcm

Step-by-step explanation:

Answer 2

Given,

ab = 1800 and HCF of a, b =15

To Find,

The LCM of a and b =?

Solution,

We can solve the question as follows:

It is given that the product of a and b is equal to 1800 and the  HCF of a, b is 15. We have to find the LCM of a and b.

$a*b = 1800$

$HCF(a,b) = 15$

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

$a*b = HCF(a,b)*LCM(a,b)$

To find the LCM, we will substitute the given values in the above formula,

$1800 = 15*LCM(a,b)$

$LCM(a,b) = \frac{1800}{15}$

                  $= 120$

Hence, the LCM of a and b is equal to 120.