Least Common Multiple of 50/289, 32/260, 780/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/289, 32/260, 780/593 quickly i.e. 31200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/289, 32/260, 780/593 is 31200.

LCM(50/289, 32/260, 780/593) = 31200

LCM of 50/289, 32/260, 780/593

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 50/289,32/260,780/593

Given numbers are 50/289,32/260,780/593

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 50,32,780

Least Common Multiple of Numerators i.e. LCM of 50,32,780 is 31200.

GCF of Denominators means GCF of 289,260,593 as per the given fractions.

GCF of 289,260,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,32,780

LCM of Fractions 50/289,32/260,780/593 is 31200

2 50, 32, 780
2 25, 16, 390
5 25, 8, 195
5, 8, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 8 x 39 = 31200

Least Common Multiple of 50,32,780 with GCF Formula

Least Common Multiple of 50,32,780 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 50,32,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,32,780) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(50,32,780) x common factors =2 x 20 = 40

LCM(50,32,780) = ( 50 × 32 × 780 ) / 40

LCM(50,32,780) = 1248000 / 40

LCM(50,32,780) = 31200


Lets's calculate GCF of 289,260,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31200/1

Therefore the LCM of Fractions 50/289,32/260,780/593 is 31200

Greatest Common Factor of 289,260,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,260,593 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

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 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 289,260,593 . The biggest common factor number is the GCF number.
So the greatest common factor 289,260,593 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 50/289, 32/260, 780/593

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 50/289, 32/260, 780/593?

Answer: LCM of Numerators as per given numbers 50/289, 32/260, 780/593 is

LCM of Numerators i.e. for 50,32,780 is 31200

GCF of denominators i.e. for 289,260,593 is 1.

Thus, LCM of Fractions is 31200.Finally, LCM of Fractions for 50/289, 32/260, 780/593 is 31200.