Least Common Multiple of 91/477, 802/720, 275/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/477, 802/720, 275/408 quickly i.e. 20070050/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/477, 802/720, 275/408 is 20070050/3.

LCM(91/477, 802/720, 275/408) = 20070050/3

LCM of 91/477, 802/720, 275/408

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 91/477,802/720,275/408

Given numbers are 91/477,802/720,275/408

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 91,802,275

Least Common Multiple of Numerators i.e. LCM of 91,802,275 is 20070050.

GCF of Denominators means GCF of 477,720,408 as per the given fractions.

GCF of 477,720,408 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,802,275

LCM of Fractions 91/477,802/720,275/408 is 20070050/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 20070050

Least Common Multiple of 91,802,275 with GCF Formula

Least Common Multiple of 91,802,275 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 91,802,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,802,275) = 1

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

GCF(91,802,275) x common factors =1 x 1 = 1

LCM(91,802,275) = ( 91 × 802 × 275 ) / 1

LCM(91,802,275) = 20070050 / 1

LCM(91,802,275) = 20070050


Lets's calculate GCF of 477,720,408

3 477, 720, 408
159, 240, 136

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20070050/3

Therefore the LCM of Fractions 91/477,802/720,275/408 is 20070050/3

Greatest Common Factor of 477,720,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,720,408 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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 477,720,408 . The biggest common factor number is the GCF number.
So the greatest common factor 477,720,408 is 3.


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 91/477, 802/720, 275/408

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 91/477, 802/720, 275/408?

Answer: LCM of Numerators as per given numbers 91/477, 802/720, 275/408 is

LCM of Numerators i.e. for 91,802,275 is 20070050

GCF of denominators i.e. for 477,720,408 is 3.

Thus, LCM of Fractions is 20070050/3.Finally, LCM of Fractions for 91/477, 802/720, 275/408 is 20070050/3.