Least Common Multiple of 79/957, 577/192, 969/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/957, 577/192, 969/300 quickly i.e. 14723309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/957, 577/192, 969/300 is 14723309.

LCM(79/957, 577/192, 969/300) = 14723309

LCM of 79/957, 577/192, 969/300

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 79/957,577/192,969/300

Given numbers are 79/957,577/192,969/300

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 79,577,969

Least Common Multiple of Numerators i.e. LCM of 79,577,969 is 44169927.

GCF of Denominators means GCF of 957,192,300 as per the given fractions.

GCF of 957,192,300 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,577,969

LCM of Fractions 79/957,577/192,969/300 is 14723309

Given numbers has no common factors except 1. So, there LCM is their product i.e 44169927

Least Common Multiple of 79,577,969 with GCF Formula

Least Common Multiple of 79,577,969 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 79,577,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,577,969) = 1

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

GCF(79,577,969) x common factors =1 x 1 = 1

LCM(79,577,969) = ( 79 × 577 × 969 ) / 1

LCM(79,577,969) = 44169927 / 1

LCM(79,577,969) = 44169927


Lets's calculate GCF of 957,192,300

3 957, 192, 300
319, 64, 100

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44169927/3

Therefore the LCM of Fractions 79/957,577/192,969/300 is 14723309

Greatest Common Factor of 957,192,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,192,300 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 957,192,300 . The biggest common factor number is the GCF number.
So the greatest common factor 957,192,300 is 3.


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 79/957, 577/192, 969/300

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 79/957, 577/192, 969/300?

Answer: LCM of Numerators as per given numbers 79/957, 577/192, 969/300 is

LCM of Numerators i.e. for 79,577,969 is 44169927

GCF of denominators i.e. for 957,192,300 is 3.

Thus, LCM of Fractions is 14723309.Finally, LCM of Fractions for 79/957, 577/192, 969/300 is 14723309.