Least Common Multiple of 755/51, 906/20, 971/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/51, 906/20, 971/579 quickly i.e. 4398630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/51, 906/20, 971/579 is 4398630.

LCM(755/51, 906/20, 971/579) = 4398630

LCM of 755/51, 906/20, 971/579

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 755/51,906/20,971/579

Given numbers are 755/51,906/20,971/579

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 755,906,971

Least Common Multiple of Numerators i.e. LCM of 755,906,971 is 4398630.

GCF of Denominators means GCF of 51,20,579 as per the given fractions.

GCF of 51,20,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,906,971

LCM of Fractions 755/51,906/20,971/579 is 4398630

151 755, 906, 971
5, 6, 971

∴ So the LCM of the given numbers is 151 x 5 x 6 x 971 = 4398630

Least Common Multiple of 755,906,971 with GCF Formula

Least Common Multiple of 755,906,971 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 755,906,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,906,971) = 1

common factors(in case of two or more numbers have common factors) = 151

GCF(755,906,971) x common factors =1 x 151 = 151

LCM(755,906,971) = ( 755 × 906 × 971 ) / 151

LCM(755,906,971) = 664193130 / 151

LCM(755,906,971) = 4398630


Lets's calculate GCF of 51,20,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4398630/1

Therefore the LCM of Fractions 755/51,906/20,971/579 is 4398630

Greatest Common Factor of 51,20,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,20,579 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 51,20,579 . The biggest common factor number is the GCF number.
So the greatest common factor 51,20,579 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 755/51, 906/20, 971/579

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 755/51, 906/20, 971/579?

Answer: LCM of Numerators as per given numbers 755/51, 906/20, 971/579 is

LCM of Numerators i.e. for 755,906,971 is 4398630

GCF of denominators i.e. for 51,20,579 is 1.

Thus, LCM of Fractions is 4398630.Finally, LCM of Fractions for 755/51, 906/20, 971/579 is 4398630.