Least Common Multiple of 3172/694, 2377/6756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3172/694, 2377/6756 quickly i.e. 3769922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3172/694, 2377/6756 is 3769922.

LCM(3172/694, 2377/6756) = 3769922

LCM of 3172/694, 2377/6756

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 3172/694,2377/6756

Given numbers are 3172/694,2377/6756

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 3172,2377

Least Common Multiple of Numerators i.e. LCM of 3172,2377 is 7539844.

GCF of Denominators means GCF of 694,6756 as per the given fractions.

GCF of 694,6756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3172,2377

LCM of Fractions 3172/694,2377/6756 is 3769922

Given numbers has no common factors except 1. So, there LCM is their product i.e 7539844

Least Common Multiple of 3172,2377 with GCF Formula

Least Common Multiple of 3172,2377 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 3172,2377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3172,2377) = 1

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

GCF(3172,2377) x common factors =1 x 1 = 1

LCM(3172,2377) = ( 3172 × 2377 ) / 1

LCM(3172,2377) = 7539844 / 1

LCM(3172,2377) = 7539844


Lets's calculate GCF of 694,6756

2 694, 6756
347, 3378

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7539844/2

Therefore the LCM of Fractions 3172/694,2377/6756 is 3769922

Greatest Common Factor of 694,6756 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,6756 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1,2,3,4,6,12,563,1126,1689,2252,3378,6756

Greatest Common Factor

We found the factors 694,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 694,6756 is 2.


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 3172/694, 2377/6756

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 3172/694, 2377/6756?

Answer: LCM of Numerators as per given numbers 3172/694, 2377/6756 is

LCM of Numerators i.e. for 3172,2377 is 7539844

GCF of denominators i.e. for 694,6756 is 2.

Thus, LCM of Fractions is 3769922.Finally, LCM of Fractions for 3172/694, 2377/6756 is 3769922.