Question

the hcf and of 150 and 100 is 50 find the lcm of 150 and 100.

Answer 1

given,


HCF (150,100) = 50


so,

lcm(150,100) =


$\frac{150 \times 100}{hcf(150 \: 100)} = \frac{150 \times 100}{50}$

= 300


be brainly

Answer 2

The LCM of 150 and 100 is 300.

Given:

The HCF of 150 and 100 is 50.

To Find:

We have to find the LCM of 150 and 100.

Solution:

This is a problem for LCM and HCF.

Let us tackle the problem.

We can easily solve this problem as follows,

We know that,

Product of two numbers = Their HCF × their LCM

Therefore,

Product of 150 and 100 = Product of LCM and HCF of 150 and 100

⇒Product of 150 and 100 =  50 ×LCM of 150 and 100

Therefore,

We can form an equation, i.e.,

LCM(150,100)×50=150×100

⇒LCM(150,100)=300

Hence, the LCM of 150 and 100 is 300.

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