Least Common Multiple of 82/775, 917/43, 760/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/775, 917/43, 760/864 quickly i.e. 28573720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/775, 917/43, 760/864 is 28573720.

LCM(82/775, 917/43, 760/864) = 28573720

LCM of 82/775, 917/43, 760/864

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 82/775,917/43,760/864

Given numbers are 82/775,917/43,760/864

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 82,917,760

Least Common Multiple of Numerators i.e. LCM of 82,917,760 is 28573720.

GCF of Denominators means GCF of 775,43,864 as per the given fractions.

GCF of 775,43,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,917,760

LCM of Fractions 82/775,917/43,760/864 is 28573720

2 82, 917, 760
41, 917, 380

∴ So the LCM of the given numbers is 2 x 41 x 917 x 380 = 28573720

Least Common Multiple of 82,917,760 with GCF Formula

Least Common Multiple of 82,917,760 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 82,917,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,917,760) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,917,760) x common factors =1 x 2 = 2

LCM(82,917,760) = ( 82 × 917 × 760 ) / 2

LCM(82,917,760) = 57147440 / 2

LCM(82,917,760) = 28573720


Lets's calculate GCF of 775,43,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28573720/1

Therefore the LCM of Fractions 82/775,917/43,760/864 is 28573720

Greatest Common Factor of 775,43,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,43,864 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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

Greatest Common Factor

We found the factors 775,43,864 . The biggest common factor number is the GCF number.
So the greatest common factor 775,43,864 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 82/775, 917/43, 760/864

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 82/775, 917/43, 760/864?

Answer: LCM of Numerators as per given numbers 82/775, 917/43, 760/864 is

LCM of Numerators i.e. for 82,917,760 is 28573720

GCF of denominators i.e. for 775,43,864 is 1.

Thus, LCM of Fractions is 28573720.Finally, LCM of Fractions for 82/775, 917/43, 760/864 is 28573720.