Least Common Multiple of 21/50, 689/22, 131/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/50, 689/22, 131/585 quickly i.e. 1895439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/50, 689/22, 131/585 is 1895439.

LCM(21/50, 689/22, 131/585) = 1895439

LCM of 21/50, 689/22, 131/585

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 21/50,689/22,131/585

Given numbers are 21/50,689/22,131/585

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 21,689,131

Least Common Multiple of Numerators i.e. LCM of 21,689,131 is 1895439.

GCF of Denominators means GCF of 50,22,585 as per the given fractions.

GCF of 50,22,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,689,131

LCM of Fractions 21/50,689/22,131/585 is 1895439

Given numbers has no common factors except 1. So, there LCM is their product i.e 1895439

Least Common Multiple of 21,689,131 with GCF Formula

Least Common Multiple of 21,689,131 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 21,689,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,689,131) = 1

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

GCF(21,689,131) x common factors =1 x 1 = 1

LCM(21,689,131) = ( 21 × 689 × 131 ) / 1

LCM(21,689,131) = 1895439 / 1

LCM(21,689,131) = 1895439


Lets's calculate GCF of 50,22,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1895439/1

Therefore the LCM of Fractions 21/50,689/22,131/585 is 1895439

Greatest Common Factor of 50,22,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,22,585 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 50,22,585 . The biggest common factor number is the GCF number.
So the greatest common factor 50,22,585 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 21/50, 689/22, 131/585

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 21/50, 689/22, 131/585?

Answer: LCM of Numerators as per given numbers 21/50, 689/22, 131/585 is

LCM of Numerators i.e. for 21,689,131 is 1895439

GCF of denominators i.e. for 50,22,585 is 1.

Thus, LCM of Fractions is 1895439.Finally, LCM of Fractions for 21/50, 689/22, 131/585 is 1895439.