Least Common Multiple of 26/933, 71/726, 589/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/933, 71/726, 589/513 quickly i.e. 1087294/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/933, 71/726, 589/513 is 1087294/3.

LCM(26/933, 71/726, 589/513) = 1087294/3

LCM of 26/933, 71/726, 589/513

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 26/933,71/726,589/513

Given numbers are 26/933,71/726,589/513

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 26,71,589

Least Common Multiple of Numerators i.e. LCM of 26,71,589 is 1087294.

GCF of Denominators means GCF of 933,726,513 as per the given fractions.

GCF of 933,726,513 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,71,589

LCM of Fractions 26/933,71/726,589/513 is 1087294/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1087294

Least Common Multiple of 26,71,589 with GCF Formula

Least Common Multiple of 26,71,589 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 26,71,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,71,589) = 1

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

GCF(26,71,589) x common factors =1 x 1 = 1

LCM(26,71,589) = ( 26 × 71 × 589 ) / 1

LCM(26,71,589) = 1087294 / 1

LCM(26,71,589) = 1087294


Lets's calculate GCF of 933,726,513

3 933, 726, 513
311, 242, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1087294/3

Therefore the LCM of Fractions 26/933,71/726,589/513 is 1087294/3

Greatest Common Factor of 933,726,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,726,513 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 933,726,513 . The biggest common factor number is the GCF number.
So the greatest common factor 933,726,513 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 26/933, 71/726, 589/513

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 26/933, 71/726, 589/513?

Answer: LCM of Numerators as per given numbers 26/933, 71/726, 589/513 is

LCM of Numerators i.e. for 26,71,589 is 1087294

GCF of denominators i.e. for 933,726,513 is 3.

Thus, LCM of Fractions is 1087294/3.Finally, LCM of Fractions for 26/933, 71/726, 589/513 is 1087294/3.