Least Common Multiple of 40/864, 31/869, 604/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/864, 31/869, 604/544 quickly i.e. 187240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/864, 31/869, 604/544 is 187240.

LCM(40/864, 31/869, 604/544) = 187240

LCM of 40/864, 31/869, 604/544

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 40/864,31/869,604/544

Given numbers are 40/864,31/869,604/544

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 40,31,604

Least Common Multiple of Numerators i.e. LCM of 40,31,604 is 187240.

GCF of Denominators means GCF of 864,869,544 as per the given fractions.

GCF of 864,869,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,31,604

LCM of Fractions 40/864,31/869,604/544 is 187240

2 40, 31, 604
2 20, 31, 302
10, 31, 151

∴ So the LCM of the given numbers is 2 x 2 x 10 x 31 x 151 = 187240

Least Common Multiple of 40,31,604 with GCF Formula

Least Common Multiple of 40,31,604 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 40,31,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,31,604) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,31,604) x common factors =1 x 4 = 4

LCM(40,31,604) = ( 40 × 31 × 604 ) / 4

LCM(40,31,604) = 748960 / 4

LCM(40,31,604) = 187240


Lets's calculate GCF of 864,869,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187240/1

Therefore the LCM of Fractions 40/864,31/869,604/544 is 187240

Greatest Common Factor of 864,869,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,869,544 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 864,869,544 . The biggest common factor number is the GCF number.
So the greatest common factor 864,869,544 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 40/864, 31/869, 604/544

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 40/864, 31/869, 604/544?

Answer: LCM of Numerators as per given numbers 40/864, 31/869, 604/544 is

LCM of Numerators i.e. for 40,31,604 is 187240

GCF of denominators i.e. for 864,869,544 is 1.

Thus, LCM of Fractions is 187240.Finally, LCM of Fractions for 40/864, 31/869, 604/544 is 187240.