Question

The product of two number is 720 the LCM is 120 find the HCF

Answer 1

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★Product of 2 no=720

★LCM=120

★HCF=Product of 2 no/LCM

★HCF=720/120

★HCF=6

Answer 2

The HCF of the two numbers = 6

Given :

• The product of two numbers is 720

• LCM of two numbers numbers is 120

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 LCM and product of two numbers

Here it is given that product of two numbers is 720

LCM of two numbers numbers is 120

Step 2 of 2 :

Find the LCM

We know that

HCF × LCM = Product of the numbers

⇒ HCF × 120 = 720

⇒ HCF = 720/120

⇒ HCF = 6

Hence HCF of the two numbers = 6

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