Least Common Multiple of 788/563, 428/696, 885/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/563, 428/696, 885/326 quickly i.e. 74619660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/563, 428/696, 885/326 is 74619660.

LCM(788/563, 428/696, 885/326) = 74619660

LCM of 788/563, 428/696, 885/326

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 788/563,428/696,885/326

Given numbers are 788/563,428/696,885/326

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 788,428,885

Least Common Multiple of Numerators i.e. LCM of 788,428,885 is 74619660.

GCF of Denominators means GCF of 563,696,326 as per the given fractions.

GCF of 563,696,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,428,885

LCM of Fractions 788/563,428/696,885/326 is 74619660

2 788, 428, 885
2 394, 214, 885
197, 107, 885

∴ So the LCM of the given numbers is 2 x 2 x 197 x 107 x 885 = 74619660

Least Common Multiple of 788,428,885 with GCF Formula

Least Common Multiple of 788,428,885 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 788,428,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,428,885) = 1

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

GCF(788,428,885) x common factors =1 x 4 = 4

LCM(788,428,885) = ( 788 × 428 × 885 ) / 4

LCM(788,428,885) = 298478640 / 4

LCM(788,428,885) = 74619660


Lets's calculate GCF of 563,696,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74619660/1

Therefore the LCM of Fractions 788/563,428/696,885/326 is 74619660

Greatest Common Factor of 563,696,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,696,326 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 563,696,326 . The biggest common factor number is the GCF number.
So the greatest common factor 563,696,326 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 788/563, 428/696, 885/326

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 788/563, 428/696, 885/326?

Answer: LCM of Numerators as per given numbers 788/563, 428/696, 885/326 is

LCM of Numerators i.e. for 788,428,885 is 74619660

GCF of denominators i.e. for 563,696,326 is 1.

Thus, LCM of Fractions is 74619660.Finally, LCM of Fractions for 788/563, 428/696, 885/326 is 74619660.