Question

The LCM of two numbers is 310. If their HCF is 40 and one of the numbers is 200, find the other numbe
35
70
62
48​

Answer 1

Answer:

Step-by-step explanation:

here comes a solution

Answer 2

The other number is 62

Given :

• The LCM of two numbers is 310.

• Their HCF is 40 and one of the numbers is 200

To find :

The other number is

35

70

62

48

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 the given data

Here it is given that LCM of two numbers is 310.

Their HCF is 40 and one of the numbers is 200

Step 2 of 2 :

Find the other number

We know that

HCF × LCM = Product of the numbers

⇒ 40 × 310 = 200 × Second number

⇒ 200 × Second number = 12400

⇒ Second number = 12400/200

⇒ Second number = 62

Hence the correct option is 62

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