Question

The product of two numbers is 1600 and their HCF is 5 . The LCM of the number is ?

Answer 1

The LCM of the two numbers = 320

Given :

The HCF of two numbers is 5 and their product is 1600

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 HCF and product of two numbers

Here it is given that HCF of two numbers is 5 and their product is 1600.

Step 2 of 2 :

Find the LCM

We know that

HCF × LCM = Product of the numbers

⇒ 5 × LCM = 1600

⇒ LCM = 1600/5

⇒ LCM = 320

The LCM of the two numbers = 320

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Answer 2

Answer:

The LCM of the number is 320

Step-by-step explanation:

given

HCF=5

Product of two numbers = 1600

Product of two numbers = L.C.M * HCF

1600=LCM* 5

∴ LCM=1600÷5

  LCM=320

The LCM of the number is 320