Least Common Multiple of 789/246, 680/123, 876/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/246, 680/123, 876/848 quickly i.e. 39165960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/246, 680/123, 876/848 is 39165960.

LCM(789/246, 680/123, 876/848) = 39165960

LCM of 789/246, 680/123, 876/848

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 789/246,680/123,876/848

Given numbers are 789/246,680/123,876/848

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 789,680,876

Least Common Multiple of Numerators i.e. LCM of 789,680,876 is 39165960.

GCF of Denominators means GCF of 246,123,848 as per the given fractions.

GCF of 246,123,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,680,876

LCM of Fractions 789/246,680/123,876/848 is 39165960

2 789, 680, 876
2 789, 340, 438
3 789, 170, 219
263, 170, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 263 x 170 x 73 = 39165960

Least Common Multiple of 789,680,876 with GCF Formula

Least Common Multiple of 789,680,876 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 789,680,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,680,876) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(789,680,876) x common factors =1 x 12 = 12

LCM(789,680,876) = ( 789 × 680 × 876 ) / 12

LCM(789,680,876) = 469991520 / 12

LCM(789,680,876) = 39165960


Lets's calculate GCF of 246,123,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39165960/1

Therefore the LCM of Fractions 789/246,680/123,876/848 is 39165960

Greatest Common Factor of 246,123,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,123,848 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 246,123,848 . The biggest common factor number is the GCF number.
So the greatest common factor 246,123,848 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 789/246, 680/123, 876/848

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 789/246, 680/123, 876/848?

Answer: LCM of Numerators as per given numbers 789/246, 680/123, 876/848 is

LCM of Numerators i.e. for 789,680,876 is 39165960

GCF of denominators i.e. for 246,123,848 is 1.

Thus, LCM of Fractions is 39165960.Finally, LCM of Fractions for 789/246, 680/123, 876/848 is 39165960.