Least Common Multiple of 2021/740, 5307/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2021/740, 5307/844 quickly i.e. 10725447/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2021/740, 5307/844 is 10725447/4.

LCM(2021/740, 5307/844) = 10725447/4

LCM of 2021/740, 5307/844

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 2021/740,5307/844

Given numbers are 2021/740,5307/844

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 2021,5307

Least Common Multiple of Numerators i.e. LCM of 2021,5307 is 10725447.

GCF of Denominators means GCF of 740,844 as per the given fractions.

GCF of 740,844 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2021,5307

LCM of Fractions 2021/740,5307/844 is 10725447/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 10725447

Least Common Multiple of 2021,5307 with GCF Formula

Least Common Multiple of 2021,5307 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 2021,5307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2021,5307) = 1

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

GCF(2021,5307) x common factors =1 x 1 = 1

LCM(2021,5307) = ( 2021 × 5307 ) / 1

LCM(2021,5307) = 10725447 / 1

LCM(2021,5307) = 10725447


Lets's calculate GCF of 740,844

2 740, 844
2 370, 422
185, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10725447/4

Therefore the LCM of Fractions 2021/740,5307/844 is 10725447/4

Greatest Common Factor of 740,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,844 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 740,844 . The biggest common factor number is the GCF number.
So the greatest common factor 740,844 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 2021/740, 5307/844

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 2021/740, 5307/844?

Answer: LCM of Numerators as per given numbers 2021/740, 5307/844 is

LCM of Numerators i.e. for 2021,5307 is 10725447

GCF of denominators i.e. for 740,844 is 4.

Thus, LCM of Fractions is 10725447/4.Finally, LCM of Fractions for 2021/740, 5307/844 is 10725447/4.