Question

The product of two numbers is 4107 and their H.C.F is 37. Find their L. C. M​

Answer 1

Answer:

Answer 111

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Answer 2

Answer:

LCM = 111

Step-by-step explanation:

Given:

• Product of 2 numbers = 4107
• HCF of these 2 numbers = 37

To find:

• LCM of these 2 numbers = ?

Solution:

Before proceeding with this question there is an important relationship between HCF, LCM and product of 2 numbers which states that:

HCF × LCM = Product of 2 numbers

Substitute the given values in this formula

⇒ 37 × LCM = 4107

⇒ LCM = 4107 ÷ 37

⇒ LCM = 111

∴ LCM of 2 given numbers is 111

Note that this identity is applicable only for 2 numbers and not more than that.