Least Common Multiple of 91/164, 20/781, 800/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/164, 20/781, 800/831 quickly i.e. 72800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/164, 20/781, 800/831 is 72800.

LCM(91/164, 20/781, 800/831) = 72800

LCM of 91/164, 20/781, 800/831

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 91/164,20/781,800/831

Given numbers are 91/164,20/781,800/831

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 91,20,800

Least Common Multiple of Numerators i.e. LCM of 91,20,800 is 72800.

GCF of Denominators means GCF of 164,781,831 as per the given fractions.

GCF of 164,781,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,20,800

LCM of Fractions 91/164,20/781,800/831 is 72800

2 91, 20, 800
2 91, 10, 400
5 91, 5, 200
91, 1, 40

∴ So the LCM of the given numbers is 2 x 2 x 5 x 91 x 1 x 40 = 72800

Least Common Multiple of 91,20,800 with GCF Formula

Least Common Multiple of 91,20,800 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 91,20,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,20,800) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(91,20,800) x common factors =1 x 20 = 20

LCM(91,20,800) = ( 91 × 20 × 800 ) / 20

LCM(91,20,800) = 1456000 / 20

LCM(91,20,800) = 72800


Lets's calculate GCF of 164,781,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72800/1

Therefore the LCM of Fractions 91/164,20/781,800/831 is 72800

Greatest Common Factor of 164,781,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,781,831 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 164,781,831 . The biggest common factor number is the GCF number.
So the greatest common factor 164,781,831 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 91/164, 20/781, 800/831

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 91/164, 20/781, 800/831?

Answer: LCM of Numerators as per given numbers 91/164, 20/781, 800/831 is

LCM of Numerators i.e. for 91,20,800 is 72800

GCF of denominators i.e. for 164,781,831 is 1.

Thus, LCM of Fractions is 72800.Finally, LCM of Fractions for 91/164, 20/781, 800/831 is 72800.