Least Common Multiple of 78/845, 9123/2834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/845, 9123/2834 quickly i.e. 18246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/845, 9123/2834 is 18246.

LCM(78/845, 9123/2834) = 18246

LCM of 78/845, 9123/2834

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 78/845,9123/2834

Given numbers are 78/845,9123/2834

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 78,9123

Least Common Multiple of Numerators i.e. LCM of 78,9123 is 237198.

GCF of Denominators means GCF of 845,2834 as per the given fractions.

GCF of 845,2834 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,9123

LCM of Fractions 78/845,9123/2834 is 18246

3 78, 9123
26, 3041

∴ So the LCM of the given numbers is 3 x 26 x 3041 = 237198

Least Common Multiple of 78,9123 with GCF Formula

Least Common Multiple of 78,9123 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 78,9123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,9123) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(78,9123) x common factors =3 x 1 = 3

LCM(78,9123) = ( 78 × 9123 ) / 3

LCM(78,9123) = 711594 / 3

LCM(78,9123) = 237198


Lets's calculate GCF of 845,2834

13 845, 2834
65, 218

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237198/13

Therefore the LCM of Fractions 78/845,9123/2834 is 18246

Greatest Common Factor of 845,2834 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,2834 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 2834

List of positive integer factors of 2834 that divides 2834 without a remainder.

1,2,13,26,109,218,1417,2834

Greatest Common Factor

We found the factors 845,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 845,2834 is 13.


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 78/845, 9123/2834

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 78/845, 9123/2834?

Answer: LCM of Numerators as per given numbers 78/845, 9123/2834 is

LCM of Numerators i.e. for 78,9123 is 237198

GCF of denominators i.e. for 845,2834 is 13.

Thus, LCM of Fractions is 18246.Finally, LCM of Fractions for 78/845, 9123/2834 is 18246.