Least Common Multiple of 801/872, 637/432, 260/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/872, 637/432, 260/408 quickly i.e. 10204740/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/872, 637/432, 260/408 is 10204740/8.

LCM(801/872, 637/432, 260/408) = 10204740/8

LCM of 801/872, 637/432, 260/408

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 801/872,637/432,260/408

Given numbers are 801/872,637/432,260/408

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 801,637,260

Least Common Multiple of Numerators i.e. LCM of 801,637,260 is 10204740.

GCF of Denominators means GCF of 872,432,408 as per the given fractions.

GCF of 872,432,408 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,637,260

LCM of Fractions 801/872,637/432,260/408 is 10204740/8

13 801, 637, 260
801, 49, 20

∴ So the LCM of the given numbers is 13 x 801 x 49 x 20 = 10204740

Least Common Multiple of 801,637,260 with GCF Formula

Least Common Multiple of 801,637,260 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 801,637,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,637,260) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(801,637,260) x common factors =1 x 13 = 13

LCM(801,637,260) = ( 801 × 637 × 260 ) / 13

LCM(801,637,260) = 132661620 / 13

LCM(801,637,260) = 10204740


Lets's calculate GCF of 872,432,408

2 872, 432, 408
2 436, 216, 204
2 218, 108, 102
109, 54, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10204740/8

Therefore the LCM of Fractions 801/872,637/432,260/408 is 10204740/8

Greatest Common Factor of 872,432,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,432,408 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 872,432,408 . The biggest common factor number is the GCF number.
So the greatest common factor 872,432,408 is 8.


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 801/872, 637/432, 260/408

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 801/872, 637/432, 260/408?

Answer: LCM of Numerators as per given numbers 801/872, 637/432, 260/408 is

LCM of Numerators i.e. for 801,637,260 is 10204740

GCF of denominators i.e. for 872,432,408 is 8.

Thus, LCM of Fractions is 10204740/8.Finally, LCM of Fractions for 801/872, 637/432, 260/408 is 10204740/8.