Least Common Multiple of 26/731, 25/539, 135/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/731, 25/539, 135/586 quickly i.e. 17550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/731, 25/539, 135/586 is 17550.

LCM(26/731, 25/539, 135/586) = 17550

LCM of 26/731, 25/539, 135/586

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 26/731,25/539,135/586

Given numbers are 26/731,25/539,135/586

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 26,25,135

Least Common Multiple of Numerators i.e. LCM of 26,25,135 is 17550.

GCF of Denominators means GCF of 731,539,586 as per the given fractions.

GCF of 731,539,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,25,135

LCM of Fractions 26/731,25/539,135/586 is 17550

5 26, 25, 135
26, 5, 27

∴ So the LCM of the given numbers is 5 x 26 x 5 x 27 = 17550

Least Common Multiple of 26,25,135 with GCF Formula

Least Common Multiple of 26,25,135 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 26,25,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,25,135) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(26,25,135) x common factors =1 x 5 = 5

LCM(26,25,135) = ( 26 × 25 × 135 ) / 5

LCM(26,25,135) = 87750 / 5

LCM(26,25,135) = 17550


Lets's calculate GCF of 731,539,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17550/1

Therefore the LCM of Fractions 26/731,25/539,135/586 is 17550

Greatest Common Factor of 731,539,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,539,586 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 731,539,586 . The biggest common factor number is the GCF number.
So the greatest common factor 731,539,586 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/731, 25/539, 135/586

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 26/731, 25/539, 135/586?

Answer: LCM of Numerators as per given numbers 26/731, 25/539, 135/586 is

LCM of Numerators i.e. for 26,25,135 is 17550

GCF of denominators i.e. for 731,539,586 is 1.

Thus, LCM of Fractions is 17550.Finally, LCM of Fractions for 26/731, 25/539, 135/586 is 17550.