Least Common Multiple of 637/821, 9139/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 637/821, 9139/760 quickly i.e. 447811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/821, 9139/760 is 447811.

LCM(637/821, 9139/760) = 447811

LCM of 637/821, 9139/760

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 637/821,9139/760

Given numbers are 637/821,9139/760

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 637,9139

Least Common Multiple of Numerators i.e. LCM of 637,9139 is 447811.

GCF of Denominators means GCF of 821,760 as per the given fractions.

GCF of 821,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,9139

LCM of Fractions 637/821,9139/760 is 447811

13 637, 9139
49, 703

∴ So the LCM of the given numbers is 13 x 49 x 703 = 447811

Least Common Multiple of 637,9139 with GCF Formula

Least Common Multiple of 637,9139 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 637,9139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,9139) = 13

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

GCF(637,9139) x common factors =13 x 1 = 13

LCM(637,9139) = ( 637 × 9139 ) / 13

LCM(637,9139) = 5821543 / 13

LCM(637,9139) = 447811


Lets's calculate GCF of 821,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447811/1

Therefore the LCM of Fractions 637/821,9139/760 is 447811

Greatest Common Factor of 821,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,760 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 821,760 . The biggest common factor number is the GCF number.
So the greatest common factor 821,760 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 637/821, 9139/760

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 637/821, 9139/760?

Answer: LCM of Numerators as per given numbers 637/821, 9139/760 is

LCM of Numerators i.e. for 637,9139 is 447811

GCF of denominators i.e. for 821,760 is 1.

Thus, LCM of Fractions is 447811.Finally, LCM of Fractions for 637/821, 9139/760 is 447811.