Question

If the product of two numbers is 5780 and their HCF is 17 ,then their LCM is

a.9826

b. 680

c. 340

d. 425

​

Answer 1

Answer:

(c) 340

Step-by-step explanation:

We know that,

LCM×HCF=Product of two numbers

so,

substituting the values,

LCM×17=5780

LCM=5780/17

LCM= 340

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Answer 2

The LCM of the two numbers = 340

Given :

The product of two numbers is 5780 and their HCF is 17

To find :

The LCM of two numbers is

a. 9826

b. 680

c. 340

d. 425

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 product of two numbers is 5780 and their HCF is 17

Step 2 of 2 :

Find the LCM of two numbers

We know that

HCF × LCM = Product of the numbers

⇒ 17 × LCM = 5780

⇒ LCM = 5780/17

⇒ LCM = 340

The LCM of the two numbers = 340

Hence the correct option is c. 340

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