Least Common Multiple of 546/721, 806/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/721, 806/637 quickly i.e. 2418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/721, 806/637 is 2418.

LCM(546/721, 806/637) = 2418

LCM of 546/721, 806/637

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 546/721,806/637

Given numbers are 546/721,806/637

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 546,806

Least Common Multiple of Numerators i.e. LCM of 546,806 is 16926.

GCF of Denominators means GCF of 721,637 as per the given fractions.

GCF of 721,637 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,806

LCM of Fractions 546/721,806/637 is 2418

2 546, 806
13 273, 403
21, 31

∴ So the LCM of the given numbers is 2 x 13 x 21 x 31 = 16926

Least Common Multiple of 546,806 with GCF Formula

Least Common Multiple of 546,806 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 546,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,806) = 26

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

GCF(546,806) x common factors =26 x 1 = 26

LCM(546,806) = ( 546 × 806 ) / 26

LCM(546,806) = 440076 / 26

LCM(546,806) = 16926


Lets's calculate GCF of 721,637

7 721, 637
103, 91

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16926/7

Therefore the LCM of Fractions 546/721,806/637 is 2418

Greatest Common Factor of 721,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,637 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 721,637 . The biggest common factor number is the GCF number.
So the greatest common factor 721,637 is 7.


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 546/721, 806/637

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 546/721, 806/637?

Answer: LCM of Numerators as per given numbers 546/721, 806/637 is

LCM of Numerators i.e. for 546,806 is 16926

GCF of denominators i.e. for 721,637 is 7.

Thus, LCM of Fractions is 2418.Finally, LCM of Fractions for 546/721, 806/637 is 2418.