Least Common Multiple of 789/915, 5742/5955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/915, 5742/5955 quickly i.e. 1510146/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/915, 5742/5955 is 1510146/15.

LCM(789/915, 5742/5955) = 1510146/15

LCM of 789/915, 5742/5955

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 789/915,5742/5955

Given numbers are 789/915,5742/5955

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 789,5742

Least Common Multiple of Numerators i.e. LCM of 789,5742 is 1510146.

GCF of Denominators means GCF of 915,5955 as per the given fractions.

GCF of 915,5955 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,5742

LCM of Fractions 789/915,5742/5955 is 1510146/15

3 789, 5742
263, 1914

∴ So the LCM of the given numbers is 3 x 263 x 1914 = 1510146

Least Common Multiple of 789,5742 with GCF Formula

Least Common Multiple of 789,5742 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 789,5742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,5742) = 3

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

GCF(789,5742) x common factors =3 x 1 = 3

LCM(789,5742) = ( 789 × 5742 ) / 3

LCM(789,5742) = 4530438 / 3

LCM(789,5742) = 1510146


Lets's calculate GCF of 915,5955

3 915, 5955
5 305, 1985
61, 397

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1510146/15

Therefore the LCM of Fractions 789/915,5742/5955 is 1510146/15

Greatest Common Factor of 915,5955 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,5955 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1,3,5,15,397,1191,1985,5955

Greatest Common Factor

We found the factors 915,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 915,5955 is 15.


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 789/915, 5742/5955

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 789/915, 5742/5955?

Answer: LCM of Numerators as per given numbers 789/915, 5742/5955 is

LCM of Numerators i.e. for 789,5742 is 1510146

GCF of denominators i.e. for 915,5955 is 15.

Thus, LCM of Fractions is 1510146/15.Finally, LCM of Fractions for 789/915, 5742/5955 is 1510146/15.