Question

the product of two digit number is765 and their hcf 3 what is their lcm

Answer 1

product of two nos. = product of lcm and hcf
765 = 3 * lcm
765/3 = lcm
255 = lcm
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Answer 2

The LCM of the two numbers = 255

Given :

The HCF of two numbers is 3 and their product is 765.

To find :

The LCM of the 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 3 and their product is 765.

Step 2 of 2 :

Find the LCM

We know that

HCF × LCM = Product of the numbers

⇒ 3 × LCM = 765

⇒ LCM = 765/3

⇒ LCM = 255

The LCM of the two numbers = 255

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