Least Common Multiple of 589/769, 135/260, 781/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/769, 135/260, 781/716 quickly i.e. 62101215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/769, 135/260, 781/716 is 62101215.

LCM(589/769, 135/260, 781/716) = 62101215

LCM of 589/769, 135/260, 781/716

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 589/769,135/260,781/716

Given numbers are 589/769,135/260,781/716

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 589,135,781

Least Common Multiple of Numerators i.e. LCM of 589,135,781 is 62101215.

GCF of Denominators means GCF of 769,260,716 as per the given fractions.

GCF of 769,260,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,135,781

LCM of Fractions 589/769,135/260,781/716 is 62101215

Given numbers has no common factors except 1. So, there LCM is their product i.e 62101215

Least Common Multiple of 589,135,781 with GCF Formula

Least Common Multiple of 589,135,781 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 589,135,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,135,781) = 1

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

GCF(589,135,781) x common factors =1 x 1 = 1

LCM(589,135,781) = ( 589 × 135 × 781 ) / 1

LCM(589,135,781) = 62101215 / 1

LCM(589,135,781) = 62101215


Lets's calculate GCF of 769,260,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62101215/1

Therefore the LCM of Fractions 589/769,135/260,781/716 is 62101215

Greatest Common Factor of 769,260,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,260,716 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 769,260,716 . The biggest common factor number is the GCF number.
So the greatest common factor 769,260,716 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 589/769, 135/260, 781/716

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 589/769, 135/260, 781/716?

Answer: LCM of Numerators as per given numbers 589/769, 135/260, 781/716 is

LCM of Numerators i.e. for 589,135,781 is 62101215

GCF of denominators i.e. for 769,260,716 is 1.

Thus, LCM of Fractions is 62101215.Finally, LCM of Fractions for 589/769, 135/260, 781/716 is 62101215.