Least Common Multiple of 561/756, 2903/6768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/756, 2903/6768 quickly i.e. 1628583/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/756, 2903/6768 is 1628583/36.

LCM(561/756, 2903/6768) = 1628583/36

LCM of 561/756, 2903/6768

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 561/756,2903/6768

Given numbers are 561/756,2903/6768

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 561,2903

Least Common Multiple of Numerators i.e. LCM of 561,2903 is 1628583.

GCF of Denominators means GCF of 756,6768 as per the given fractions.

GCF of 756,6768 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,2903

LCM of Fractions 561/756,2903/6768 is 1628583/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 1628583

Least Common Multiple of 561,2903 with GCF Formula

Least Common Multiple of 561,2903 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 561,2903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,2903) = 1

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

GCF(561,2903) x common factors =1 x 1 = 1

LCM(561,2903) = ( 561 × 2903 ) / 1

LCM(561,2903) = 1628583 / 1

LCM(561,2903) = 1628583


Lets's calculate GCF of 756,6768

2 756, 6768
2 378, 3384
3 189, 1692
3 63, 564
21, 188

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628583/36

Therefore the LCM of Fractions 561/756,2903/6768 is 1628583/36

Greatest Common Factor of 756,6768 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,6768 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768

Greatest Common Factor

We found the factors 756,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 756,6768 is 36.


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 561/756, 2903/6768

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 561/756, 2903/6768?

Answer: LCM of Numerators as per given numbers 561/756, 2903/6768 is

LCM of Numerators i.e. for 561,2903 is 1628583

GCF of denominators i.e. for 756,6768 is 36.

Thus, LCM of Fractions is 1628583/36.Finally, LCM of Fractions for 561/756, 2903/6768 is 1628583/36.