Least Common Multiple of 766/78, 823/89, 308/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/78, 823/89, 308/13 quickly i.e. 97084372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/78, 823/89, 308/13 is 97084372.

LCM(766/78, 823/89, 308/13) = 97084372

LCM of 766/78, 823/89, 308/13

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 766/78,823/89,308/13

Given numbers are 766/78,823/89,308/13

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 766,823,308

Least Common Multiple of Numerators i.e. LCM of 766,823,308 is 97084372.

GCF of Denominators means GCF of 78,89,13 as per the given fractions.

GCF of 78,89,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,823,308

LCM of Fractions 766/78,823/89,308/13 is 97084372

2 766, 823, 308
383, 823, 154

∴ So the LCM of the given numbers is 2 x 383 x 823 x 154 = 97084372

Least Common Multiple of 766,823,308 with GCF Formula

Least Common Multiple of 766,823,308 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 766,823,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,823,308) = 1

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

GCF(766,823,308) x common factors =1 x 2 = 2

LCM(766,823,308) = ( 766 × 823 × 308 ) / 2

LCM(766,823,308) = 194168744 / 2

LCM(766,823,308) = 97084372


Lets's calculate GCF of 78,89,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97084372/1

Therefore the LCM of Fractions 766/78,823/89,308/13 is 97084372

Greatest Common Factor of 78,89,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,89,13 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 78,89,13 . The biggest common factor number is the GCF number.
So the greatest common factor 78,89,13 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 766/78, 823/89, 308/13

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 766/78, 823/89, 308/13?

Answer: LCM of Numerators as per given numbers 766/78, 823/89, 308/13 is

LCM of Numerators i.e. for 766,823,308 is 97084372

GCF of denominators i.e. for 78,89,13 is 1.

Thus, LCM of Fractions is 97084372.Finally, LCM of Fractions for 766/78, 823/89, 308/13 is 97084372.