Least Common Multiple of 71/588, 731/755, 506/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/588, 731/755, 506/626 quickly i.e. 26261906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/588, 731/755, 506/626 is 26261906.

LCM(71/588, 731/755, 506/626) = 26261906

LCM of 71/588, 731/755, 506/626

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 71/588,731/755,506/626

Given numbers are 71/588,731/755,506/626

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 71,731,506

Least Common Multiple of Numerators i.e. LCM of 71,731,506 is 26261906.

GCF of Denominators means GCF of 588,755,626 as per the given fractions.

GCF of 588,755,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,731,506

LCM of Fractions 71/588,731/755,506/626 is 26261906

Given numbers has no common factors except 1. So, there LCM is their product i.e 26261906

Least Common Multiple of 71,731,506 with GCF Formula

Least Common Multiple of 71,731,506 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 71,731,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,731,506) = 1

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

GCF(71,731,506) x common factors =1 x 1 = 1

LCM(71,731,506) = ( 71 × 731 × 506 ) / 1

LCM(71,731,506) = 26261906 / 1

LCM(71,731,506) = 26261906


Lets's calculate GCF of 588,755,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26261906/1

Therefore the LCM of Fractions 71/588,731/755,506/626 is 26261906

Greatest Common Factor of 588,755,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,755,626 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 588,755,626 . The biggest common factor number is the GCF number.
So the greatest common factor 588,755,626 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 71/588, 731/755, 506/626

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 71/588, 731/755, 506/626?

Answer: LCM of Numerators as per given numbers 71/588, 731/755, 506/626 is

LCM of Numerators i.e. for 71,731,506 is 26261906

GCF of denominators i.e. for 588,755,626 is 1.

Thus, LCM of Fractions is 26261906.Finally, LCM of Fractions for 71/588, 731/755, 506/626 is 26261906.