Least Common Multiple of 2616/895, 5544/5076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2616/895, 5544/5076 quickly i.e. 604296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2616/895, 5544/5076 is 604296.

LCM(2616/895, 5544/5076) = 604296

LCM of 2616/895, 5544/5076

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 2616/895,5544/5076

Given numbers are 2616/895,5544/5076

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 2616,5544

Least Common Multiple of Numerators i.e. LCM of 2616,5544 is 604296.

GCF of Denominators means GCF of 895,5076 as per the given fractions.

GCF of 895,5076 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2616,5544

LCM of Fractions 2616/895,5544/5076 is 604296

2 2616, 5544
2 1308, 2772
2 654, 1386
3 327, 693
109, 231

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 109 x 231 = 604296

Least Common Multiple of 2616,5544 with GCF Formula

Least Common Multiple of 2616,5544 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 2616,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2616,5544) = 24

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

GCF(2616,5544) x common factors =24 x 1 = 24

LCM(2616,5544) = ( 2616 × 5544 ) / 24

LCM(2616,5544) = 14503104 / 24

LCM(2616,5544) = 604296


Lets's calculate GCF of 895,5076

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604296/1

Therefore the LCM of Fractions 2616/895,5544/5076 is 604296

Greatest Common Factor of 895,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,5076 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 895,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 895,5076 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2616/895, 5544/5076

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 2616/895, 5544/5076?

Answer: LCM of Numerators as per given numbers 2616/895, 5544/5076 is

LCM of Numerators i.e. for 2616,5544 is 604296

GCF of denominators i.e. for 895,5076 is 1.

Thus, LCM of Fractions is 604296.Finally, LCM of Fractions for 2616/895, 5544/5076 is 604296.