Least Common Multiple of 318/82, 580/44, 685/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/82, 580/44, 685/759 quickly i.e. 12634140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/82, 580/44, 685/759 is 12634140.

LCM(318/82, 580/44, 685/759) = 12634140

LCM of 318/82, 580/44, 685/759

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 318/82,580/44,685/759

Given numbers are 318/82,580/44,685/759

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 318,580,685

Least Common Multiple of Numerators i.e. LCM of 318,580,685 is 12634140.

GCF of Denominators means GCF of 82,44,759 as per the given fractions.

GCF of 82,44,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,580,685

LCM of Fractions 318/82,580/44,685/759 is 12634140

2 318, 580, 685
5 159, 290, 685
159, 58, 137

∴ So the LCM of the given numbers is 2 x 5 x 159 x 58 x 137 = 12634140

Least Common Multiple of 318,580,685 with GCF Formula

Least Common Multiple of 318,580,685 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 318,580,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,580,685) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(318,580,685) x common factors =1 x 10 = 10

LCM(318,580,685) = ( 318 × 580 × 685 ) / 10

LCM(318,580,685) = 126341400 / 10

LCM(318,580,685) = 12634140


Lets's calculate GCF of 82,44,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12634140/1

Therefore the LCM of Fractions 318/82,580/44,685/759 is 12634140

Greatest Common Factor of 82,44,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,44,759 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 82,44,759 . The biggest common factor number is the GCF number.
So the greatest common factor 82,44,759 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 318/82, 580/44, 685/759

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 318/82, 580/44, 685/759?

Answer: LCM of Numerators as per given numbers 318/82, 580/44, 685/759 is

LCM of Numerators i.e. for 318,580,685 is 12634140

GCF of denominators i.e. for 82,44,759 is 1.

Thus, LCM of Fractions is 12634140.Finally, LCM of Fractions for 318/82, 580/44, 685/759 is 12634140.