Question

Hcf of two numbers is 16 and. Their product is 6400 find the lcm of the numbers

Answer 1

Answer:

$\implies{400}$

Explanation:

Given:

• HCF of two numbers = 16
• Their Product = 6400

To Find:

• LCM = ?

We Have,

• HCF × LCM = Products of numbers

$\implies\:$16 × LCM = 6400

$\implies\:$LCM = $\frac{6400}{16}$= 400

$\implies\:$LCM = 400.

Answer 2

The LCM of the two numbers = 400

Given :

The HCF of two numbers is 16 and their product is 6400.

To find :

The LCM of two numbers

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down HCF and product of two numbers

Here it is given that HCF of two numbers is 16 and their product is 6400

Step 2 of 2 :

Find the LCM of two numbers

We know that

HCF × LCM = Product of the numbers

⇒ 16 × LCM = 3600

⇒ LCM = 6400/16

⇒ LCM = 400

The LCM of the two numbers = 400

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