Least Common Multiple of 84/21, 243/76, 373/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/21, 243/76, 373/796 quickly i.e. 2537892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/21, 243/76, 373/796 is 2537892.

LCM(84/21, 243/76, 373/796) = 2537892

LCM of 84/21, 243/76, 373/796

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 84/21,243/76,373/796

Given numbers are 84/21,243/76,373/796

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 84,243,373

Least Common Multiple of Numerators i.e. LCM of 84,243,373 is 2537892.

GCF of Denominators means GCF of 21,76,796 as per the given fractions.

GCF of 21,76,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,243,373

LCM of Fractions 84/21,243/76,373/796 is 2537892

3 84, 243, 373
28, 81, 373

∴ So the LCM of the given numbers is 3 x 28 x 81 x 373 = 2537892

Least Common Multiple of 84,243,373 with GCF Formula

Least Common Multiple of 84,243,373 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 84,243,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,243,373) = 1

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

GCF(84,243,373) x common factors =1 x 3 = 3

LCM(84,243,373) = ( 84 × 243 × 373 ) / 3

LCM(84,243,373) = 7613676 / 3

LCM(84,243,373) = 2537892


Lets's calculate GCF of 21,76,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2537892/1

Therefore the LCM of Fractions 84/21,243/76,373/796 is 2537892

Greatest Common Factor of 21,76,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,76,796 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 21,76,796 . The biggest common factor number is the GCF number.
So the greatest common factor 21,76,796 is 1.


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 84/21, 243/76, 373/796

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 84/21, 243/76, 373/796?

Answer: LCM of Numerators as per given numbers 84/21, 243/76, 373/796 is

LCM of Numerators i.e. for 84,243,373 is 2537892

GCF of denominators i.e. for 21,76,796 is 1.

Thus, LCM of Fractions is 2537892.Finally, LCM of Fractions for 84/21, 243/76, 373/796 is 2537892.