Least Common Multiple of 3971/297, 7114/7323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3971/297, 7114/7323 quickly i.e. 28249694/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3971/297, 7114/7323 is 28249694/3.

LCM(3971/297, 7114/7323) = 28249694/3

LCM of 3971/297, 7114/7323

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 3971/297,7114/7323

Given numbers are 3971/297,7114/7323

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 3971,7114

Least Common Multiple of Numerators i.e. LCM of 3971,7114 is 28249694.

GCF of Denominators means GCF of 297,7323 as per the given fractions.

GCF of 297,7323 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3971,7114

LCM of Fractions 3971/297,7114/7323 is 28249694/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 28249694

Least Common Multiple of 3971,7114 with GCF Formula

Least Common Multiple of 3971,7114 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 3971,7114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3971,7114) = 1

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

GCF(3971,7114) x common factors =1 x 1 = 1

LCM(3971,7114) = ( 3971 × 7114 ) / 1

LCM(3971,7114) = 28249694 / 1

LCM(3971,7114) = 28249694


Lets's calculate GCF of 297,7323

3 297, 7323
99, 2441

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28249694/3

Therefore the LCM of Fractions 3971/297,7114/7323 is 28249694/3

Greatest Common Factor of 297,7323 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,7323 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1,3,2441,7323

Greatest Common Factor

We found the factors 297,7323 . The biggest common factor number is the GCF number.
So the greatest common factor 297,7323 is 3.


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 3971/297, 7114/7323

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 3971/297, 7114/7323?

Answer: LCM of Numerators as per given numbers 3971/297, 7114/7323 is

LCM of Numerators i.e. for 3971,7114 is 28249694

GCF of denominators i.e. for 297,7323 is 3.

Thus, LCM of Fractions is 28249694/3.Finally, LCM of Fractions for 3971/297, 7114/7323 is 28249694/3.