Least Common Multiple of 82/766, 24/723, 583/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/766, 24/723, 583/684 quickly i.e. 573672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/766, 24/723, 583/684 is 573672.

LCM(82/766, 24/723, 583/684) = 573672

LCM of 82/766, 24/723, 583/684

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 82/766,24/723,583/684

Given numbers are 82/766,24/723,583/684

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 82,24,583

Least Common Multiple of Numerators i.e. LCM of 82,24,583 is 573672.

GCF of Denominators means GCF of 766,723,684 as per the given fractions.

GCF of 766,723,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,24,583

LCM of Fractions 82/766,24/723,583/684 is 573672

2 82, 24, 583
41, 12, 583

∴ So the LCM of the given numbers is 2 x 41 x 12 x 583 = 573672

Least Common Multiple of 82,24,583 with GCF Formula

Least Common Multiple of 82,24,583 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 82,24,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,24,583) = 1

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

GCF(82,24,583) x common factors =1 x 2 = 2

LCM(82,24,583) = ( 82 × 24 × 583 ) / 2

LCM(82,24,583) = 1147344 / 2

LCM(82,24,583) = 573672


Lets's calculate GCF of 766,723,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 573672/1

Therefore the LCM of Fractions 82/766,24/723,583/684 is 573672

Greatest Common Factor of 766,723,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,723,684 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 766,723,684 . The biggest common factor number is the GCF number.
So the greatest common factor 766,723,684 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 82/766, 24/723, 583/684

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 82/766, 24/723, 583/684?

Answer: LCM of Numerators as per given numbers 82/766, 24/723, 583/684 is

LCM of Numerators i.e. for 82,24,583 is 573672

GCF of denominators i.e. for 766,723,684 is 1.

Thus, LCM of Fractions is 573672.Finally, LCM of Fractions for 82/766, 24/723, 583/684 is 573672.