Least Common Multiple of 21/800, 864/116, 731/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/800, 864/116, 731/596 quickly i.e. 1105272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/800, 864/116, 731/596 is 1105272.

LCM(21/800, 864/116, 731/596) = 1105272

LCM of 21/800, 864/116, 731/596

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 21/800,864/116,731/596

Given numbers are 21/800,864/116,731/596

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 21,864,731

Least Common Multiple of Numerators i.e. LCM of 21,864,731 is 4421088.

GCF of Denominators means GCF of 800,116,596 as per the given fractions.

GCF of 800,116,596 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,864,731

LCM of Fractions 21/800,864/116,731/596 is 1105272

3 21, 864, 731
7, 288, 731

∴ So the LCM of the given numbers is 3 x 7 x 288 x 731 = 4421088

Least Common Multiple of 21,864,731 with GCF Formula

Least Common Multiple of 21,864,731 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 21,864,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,864,731) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,864,731) x common factors =1 x 3 = 3

LCM(21,864,731) = ( 21 × 864 × 731 ) / 3

LCM(21,864,731) = 13263264 / 3

LCM(21,864,731) = 4421088


Lets's calculate GCF of 800,116,596

2 800, 116, 596
2 400, 58, 298
200, 29, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4421088/4

Therefore the LCM of Fractions 21/800,864/116,731/596 is 1105272

Greatest Common Factor of 800,116,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,116,596 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 800,116,596 . The biggest common factor number is the GCF number.
So the greatest common factor 800,116,596 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 21/800, 864/116, 731/596

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 21/800, 864/116, 731/596?

Answer: LCM of Numerators as per given numbers 21/800, 864/116, 731/596 is

LCM of Numerators i.e. for 21,864,731 is 4421088

GCF of denominators i.e. for 800,116,596 is 4.

Thus, LCM of Fractions is 1105272.Finally, LCM of Fractions for 21/800, 864/116, 731/596 is 1105272.