Question

if the lcm of two numbers is 105, their HCF 3, and one of the numbers 15, then the other numbers _​

Answer 1

LCM x HCF = 1st number x 2nd number

LCM = 105

HCF = 3

1st number = 15

2nd number = ?

105 x 3 = 15 x 2nd no.

2nd no. = (105 x 3)/15

2nd no. = 21

The other number is 21.

Answer 2

The other number is 21

Given :

• The LCM of two numbers is 105 , their HCF 3

• One of the numbers 15

To find :

The other number

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that LCM of two numbers is 105 , their HCF 3

One of the numbers 15

Step 2 of 2 :

Find the other number

We know that

HCF × LCM = Product of the numbers

⇒ 3 × 105 = 15 × Second number

⇒ 15 × Second number = 315

⇒ Second number = 315/15

⇒ Second number = 21

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