Least Common Multiple of 84/876, 2564/2096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/876, 2564/2096 quickly i.e. 13461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/876, 2564/2096 is 13461.

LCM(84/876, 2564/2096) = 13461

LCM of 84/876, 2564/2096

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 84/876,2564/2096

Given numbers are 84/876,2564/2096

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 84,2564

Least Common Multiple of Numerators i.e. LCM of 84,2564 is 53844.

GCF of Denominators means GCF of 876,2096 as per the given fractions.

GCF of 876,2096 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,2564

LCM of Fractions 84/876,2564/2096 is 13461

2 84, 2564
2 42, 1282
21, 641

∴ So the LCM of the given numbers is 2 x 2 x 21 x 641 = 53844

Least Common Multiple of 84,2564 with GCF Formula

Least Common Multiple of 84,2564 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 84,2564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,2564) = 4

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

GCF(84,2564) x common factors =4 x 1 = 4

LCM(84,2564) = ( 84 × 2564 ) / 4

LCM(84,2564) = 215376 / 4

LCM(84,2564) = 53844


Lets's calculate GCF of 876,2096

2 876, 2096
2 438, 1048
219, 524

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53844/4

Therefore the LCM of Fractions 84/876,2564/2096 is 13461

Greatest Common Factor of 876,2096 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,2096 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1,2,4,8,16,131,262,524,1048,2096

Greatest Common Factor

We found the factors 876,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 876,2096 is 4.


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 84/876, 2564/2096

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 84/876, 2564/2096?

Answer: LCM of Numerators as per given numbers 84/876, 2564/2096 is

LCM of Numerators i.e. for 84,2564 is 53844

GCF of denominators i.e. for 876,2096 is 4.

Thus, LCM of Fractions is 13461.Finally, LCM of Fractions for 84/876, 2564/2096 is 13461.