Least Common Multiple of 120/823, 759/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/823, 759/936 quickly i.e. 30360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/823, 759/936 is 30360.

LCM(120/823, 759/936) = 30360

LCM of 120/823, 759/936

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 120/823,759/936

Given numbers are 120/823,759/936

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 120,759

Least Common Multiple of Numerators i.e. LCM of 120,759 is 30360.

GCF of Denominators means GCF of 823,936 as per the given fractions.

GCF of 823,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,759

LCM of Fractions 120/823,759/936 is 30360

3 120, 759
40, 253

∴ So the LCM of the given numbers is 3 x 40 x 253 = 30360

Least Common Multiple of 120,759 with GCF Formula

Least Common Multiple of 120,759 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 120,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,759) = 3

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

GCF(120,759) x common factors =3 x 1 = 3

LCM(120,759) = ( 120 × 759 ) / 3

LCM(120,759) = 91080 / 3

LCM(120,759) = 30360


Lets's calculate GCF of 823,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30360/1

Therefore the LCM of Fractions 120/823,759/936 is 30360

Greatest Common Factor of 823,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,936 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 823,936 . The biggest common factor number is the GCF number.
So the greatest common factor 823,936 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 120/823, 759/936

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 120/823, 759/936?

Answer: LCM of Numerators as per given numbers 120/823, 759/936 is

LCM of Numerators i.e. for 120,759 is 30360

GCF of denominators i.e. for 823,936 is 1.

Thus, LCM of Fractions is 30360.Finally, LCM of Fractions for 120/823, 759/936 is 30360.