Least Common Multiple of 78/107, 540/905, 394/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/107, 540/905, 394/578 quickly i.e. 1382940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/107, 540/905, 394/578 is 1382940.

LCM(78/107, 540/905, 394/578) = 1382940

LCM of 78/107, 540/905, 394/578

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 78/107,540/905,394/578

Given numbers are 78/107,540/905,394/578

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 78,540,394

Least Common Multiple of Numerators i.e. LCM of 78,540,394 is 1382940.

GCF of Denominators means GCF of 107,905,578 as per the given fractions.

GCF of 107,905,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,540,394

LCM of Fractions 78/107,540/905,394/578 is 1382940

2 78, 540, 394
3 39, 270, 197
13, 90, 197

∴ So the LCM of the given numbers is 2 x 3 x 13 x 90 x 197 = 1382940

Least Common Multiple of 78,540,394 with GCF Formula

Least Common Multiple of 78,540,394 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 78,540,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,540,394) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,540,394) x common factors =2 x 6 = 12

LCM(78,540,394) = ( 78 × 540 × 394 ) / 12

LCM(78,540,394) = 16595280 / 12

LCM(78,540,394) = 1382940


Lets's calculate GCF of 107,905,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1382940/1

Therefore the LCM of Fractions 78/107,540/905,394/578 is 1382940

Greatest Common Factor of 107,905,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,905,578 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 107,905,578 . The biggest common factor number is the GCF number.
So the greatest common factor 107,905,578 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 78/107, 540/905, 394/578

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 78/107, 540/905, 394/578?

Answer: LCM of Numerators as per given numbers 78/107, 540/905, 394/578 is

LCM of Numerators i.e. for 78,540,394 is 1382940

GCF of denominators i.e. for 107,905,578 is 1.

Thus, LCM of Fractions is 1382940.Finally, LCM of Fractions for 78/107, 540/905, 394/578 is 1382940.