Least Common Multiple of 644/43, 260/45, 637/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/43, 260/45, 637/743 quickly i.e. 293020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/43, 260/45, 637/743 is 293020.

LCM(644/43, 260/45, 637/743) = 293020

LCM of 644/43, 260/45, 637/743

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 644/43,260/45,637/743

Given numbers are 644/43,260/45,637/743

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 644,260,637

Least Common Multiple of Numerators i.e. LCM of 644,260,637 is 293020.

GCF of Denominators means GCF of 43,45,743 as per the given fractions.

GCF of 43,45,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,260,637

LCM of Fractions 644/43,260/45,637/743 is 293020

2 644, 260, 637
2 322, 130, 637
7 161, 65, 637
13 23, 65, 91
23, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 23 x 5 x 7 = 293020

Least Common Multiple of 644,260,637 with GCF Formula

Least Common Multiple of 644,260,637 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 644,260,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,260,637) = 1

common factors(in case of two or more numbers have common factors) = 364

GCF(644,260,637) x common factors =1 x 364 = 364

LCM(644,260,637) = ( 644 × 260 × 637 ) / 364

LCM(644,260,637) = 106659280 / 364

LCM(644,260,637) = 293020


Lets's calculate GCF of 43,45,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293020/1

Therefore the LCM of Fractions 644/43,260/45,637/743 is 293020

Greatest Common Factor of 43,45,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,45,743 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 43,45,743 . The biggest common factor number is the GCF number.
So the greatest common factor 43,45,743 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 644/43, 260/45, 637/743

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 644/43, 260/45, 637/743?

Answer: LCM of Numerators as per given numbers 644/43, 260/45, 637/743 is

LCM of Numerators i.e. for 644,260,637 is 293020

GCF of denominators i.e. for 43,45,743 is 1.

Thus, LCM of Fractions is 293020.Finally, LCM of Fractions for 644/43, 260/45, 637/743 is 293020.