Least Common Multiple of 789/13, 279/75, 942/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/13, 279/75, 942/73 quickly i.e. 23040378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/13, 279/75, 942/73 is 23040378.

LCM(789/13, 279/75, 942/73) = 23040378

LCM of 789/13, 279/75, 942/73

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 789/13,279/75,942/73

Given numbers are 789/13,279/75,942/73

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 789,279,942

Least Common Multiple of Numerators i.e. LCM of 789,279,942 is 23040378.

GCF of Denominators means GCF of 13,75,73 as per the given fractions.

GCF of 13,75,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,279,942

LCM of Fractions 789/13,279/75,942/73 is 23040378

3 789, 279, 942
263, 93, 314

∴ So the LCM of the given numbers is 3 x 263 x 93 x 314 = 23040378

Least Common Multiple of 789,279,942 with GCF Formula

Least Common Multiple of 789,279,942 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 789,279,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,279,942) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(789,279,942) x common factors =3 x 3 = 9

LCM(789,279,942) = ( 789 × 279 × 942 ) / 9

LCM(789,279,942) = 207363402 / 9

LCM(789,279,942) = 23040378


Lets's calculate GCF of 13,75,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23040378/1

Therefore the LCM of Fractions 789/13,279/75,942/73 is 23040378

Greatest Common Factor of 13,75,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,75,73 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 13,75,73 . The biggest common factor number is the GCF number.
So the greatest common factor 13,75,73 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 789/13, 279/75, 942/73

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 789/13, 279/75, 942/73?

Answer: LCM of Numerators as per given numbers 789/13, 279/75, 942/73 is

LCM of Numerators i.e. for 789,279,942 is 23040378

GCF of denominators i.e. for 13,75,73 is 1.

Thus, LCM of Fractions is 23040378.Finally, LCM of Fractions for 789/13, 279/75, 942/73 is 23040378.