Least Common Multiple of 631/971, 809/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 631/971, 809/971 quickly i.e. 510479/971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 631/971, 809/971 is 510479/971.

LCM(631/971, 809/971) = 510479/971

LCM of 631/971, 809/971

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 631/971,809/971

Given numbers are 631/971,809/971

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 631,809

Least Common Multiple of Numerators i.e. LCM of 631,809 is 510479.

GCF of Denominators means GCF of 971,971 as per the given fractions.

GCF of 971,971 is 971 as it is the largest common factor for these numbers.

Lets's calculate LCM of 631,809

LCM of Fractions 631/971,809/971 is 510479/971

Given numbers has no common factors except 1. So, there LCM is their product i.e 510479

Least Common Multiple of 631,809 with GCF Formula

Least Common Multiple of 631,809 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 631,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,809) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(631,809) x common factors =1 x 1 = 1

LCM(631,809) = ( 631 × 809 ) / 1

LCM(631,809) = 510479 / 1

LCM(631,809) = 510479


Lets's calculate GCF of 971,971

971 971, 971
1, 1

∴ So the GCF of the given numbers is 971 = 971

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510479/971

Therefore the LCM of Fractions 631/971,809/971 is 510479/971

Greatest Common Factor of 971,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,971 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 971,971 . The biggest common factor number is the GCF number.
So the greatest common factor 971,971 is 971.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 631/971, 809/971

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 631/971, 809/971?

Answer: LCM of Numerators as per given numbers 631/971, 809/971 is

LCM of Numerators i.e. for 631,809 is 510479

GCF of denominators i.e. for 971,971 is 971.

Thus, LCM of Fractions is 510479/971.Finally, LCM of Fractions for 631/971, 809/971 is 510479/971.