Least Common Multiple of 2271/426, 4280/2936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2271/426, 4280/2936 quickly i.e. 4859940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2271/426, 4280/2936 is 4859940.

LCM(2271/426, 4280/2936) = 4859940

LCM of 2271/426, 4280/2936

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 2271/426,4280/2936

Given numbers are 2271/426,4280/2936

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 2271,4280

Least Common Multiple of Numerators i.e. LCM of 2271,4280 is 9719880.

GCF of Denominators means GCF of 426,2936 as per the given fractions.

GCF of 426,2936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2271,4280

LCM of Fractions 2271/426,4280/2936 is 4859940

Given numbers has no common factors except 1. So, there LCM is their product i.e 9719880

Least Common Multiple of 2271,4280 with GCF Formula

Least Common Multiple of 2271,4280 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 2271,4280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2271,4280) = 1

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

GCF(2271,4280) x common factors =1 x 1 = 1

LCM(2271,4280) = ( 2271 × 4280 ) / 1

LCM(2271,4280) = 9719880 / 1

LCM(2271,4280) = 9719880


Lets's calculate GCF of 426,2936

2 426, 2936
213, 1468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9719880/2

Therefore the LCM of Fractions 2271/426,4280/2936 is 4859940

Greatest Common Factor of 426,2936 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,2936 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1,2,4,8,367,734,1468,2936

Greatest Common Factor

We found the factors 426,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 426,2936 is 2.


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Frequently Asked Questions on Fractional LCM of 2271/426, 4280/2936

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 2271/426, 4280/2936?

Answer: LCM of Numerators as per given numbers 2271/426, 4280/2936 is

LCM of Numerators i.e. for 2271,4280 is 9719880

GCF of denominators i.e. for 426,2936 is 2.

Thus, LCM of Fractions is 4859940.Finally, LCM of Fractions for 2271/426, 4280/2936 is 4859940.