Least Common Multiple of 40/936, 690/564, 591/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/936, 690/564, 591/801 quickly i.e. 181240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/936, 690/564, 591/801 is 181240.

LCM(40/936, 690/564, 591/801) = 181240

LCM of 40/936, 690/564, 591/801

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 40/936,690/564,591/801

Given numbers are 40/936,690/564,591/801

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 40,690,591

Least Common Multiple of Numerators i.e. LCM of 40,690,591 is 543720.

GCF of Denominators means GCF of 936,564,801 as per the given fractions.

GCF of 936,564,801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,690,591

LCM of Fractions 40/936,690/564,591/801 is 181240

2 40, 690, 591
3 20, 345, 591
5 20, 115, 197
4, 23, 197

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 23 x 197 = 543720

Least Common Multiple of 40,690,591 with GCF Formula

Least Common Multiple of 40,690,591 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 40,690,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,690,591) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(40,690,591) x common factors =1 x 30 = 30

LCM(40,690,591) = ( 40 × 690 × 591 ) / 30

LCM(40,690,591) = 16311600 / 30

LCM(40,690,591) = 543720


Lets's calculate GCF of 936,564,801

3 936, 564, 801
312, 188, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543720/3

Therefore the LCM of Fractions 40/936,690/564,591/801 is 181240

Greatest Common Factor of 936,564,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,564,801 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 936,564,801 . The biggest common factor number is the GCF number.
So the greatest common factor 936,564,801 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 40/936, 690/564, 591/801

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 40/936, 690/564, 591/801?

Answer: LCM of Numerators as per given numbers 40/936, 690/564, 591/801 is

LCM of Numerators i.e. for 40,690,591 is 543720

GCF of denominators i.e. for 936,564,801 is 3.

Thus, LCM of Fractions is 181240.Finally, LCM of Fractions for 40/936, 690/564, 591/801 is 181240.