Least Common Multiple of 628/744, 727/976, 551/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 628/744, 727/976, 551/579 quickly i.e. 251562356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 628/744, 727/976, 551/579 is 251562356.

LCM(628/744, 727/976, 551/579) = 251562356

LCM of 628/744, 727/976, 551/579

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 628/744,727/976,551/579

Given numbers are 628/744,727/976,551/579

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 628,727,551

Least Common Multiple of Numerators i.e. LCM of 628,727,551 is 251562356.

GCF of Denominators means GCF of 744,976,579 as per the given fractions.

GCF of 744,976,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 628,727,551

LCM of Fractions 628/744,727/976,551/579 is 251562356

Given numbers has no common factors except 1. So, there LCM is their product i.e 251562356

Least Common Multiple of 628,727,551 with GCF Formula

Least Common Multiple of 628,727,551 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 628,727,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,727,551) = 1

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

GCF(628,727,551) x common factors =1 x 1 = 1

LCM(628,727,551) = ( 628 × 727 × 551 ) / 1

LCM(628,727,551) = 251562356 / 1

LCM(628,727,551) = 251562356


Lets's calculate GCF of 744,976,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251562356/1

Therefore the LCM of Fractions 628/744,727/976,551/579 is 251562356

Greatest Common Factor of 744,976,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,976,579 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

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 744,976,579 . The biggest common factor number is the GCF number.
So the greatest common factor 744,976,579 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 628/744, 727/976, 551/579

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 628/744, 727/976, 551/579?

Answer: LCM of Numerators as per given numbers 628/744, 727/976, 551/579 is

LCM of Numerators i.e. for 628,727,551 is 251562356

GCF of denominators i.e. for 744,976,579 is 1.

Thus, LCM of Fractions is 251562356.Finally, LCM of Fractions for 628/744, 727/976, 551/579 is 251562356.