Least Common Multiple of 21/85, 20/13, 82/50, 34/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/85, 20/13, 82/50, 34/789 quickly i.e. 292740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/85, 20/13, 82/50, 34/789 is 292740.

LCM(21/85, 20/13, 82/50, 34/789) = 292740

LCM of 21/85, 20/13, 82/50, 34/789

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 21/85,20/13,82/50,34/789

Given numbers are 21/85,20/13,82/50,34/789

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 21,20,82,34

Least Common Multiple of Numerators i.e. LCM of 21,20,82,34 is 292740.

GCF of Denominators means GCF of 85,13,50,789 as per the given fractions.

GCF of 85,13,50,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,20,82,34

LCM of Fractions 21/85,20/13,82/50,34/789 is 292740

2 21, 20, 82, 34
21, 10, 41, 17

∴ So the LCM of the given numbers is 2 x 21 x 10 x 41 x 17 = 292740

Least Common Multiple of 21,20,82,34 with GCF Formula

Least Common Multiple of 21,20,82,34 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 21,20,82,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,20,82,34) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(21,20,82,34) x common factors =1 x 4 = 4

LCM(21,20,82,34) = ( 21 × 20 × 82 × 34 ) / 4

LCM(21,20,82,34) = 1170960 / 4

LCM(21,20,82,34) = 292740


Lets's calculate GCF of 85,13,50,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292740/1

Therefore the LCM of Fractions 21/85,20/13,82/50,34/789 is 292740

Greatest Common Factor of 85,13,50,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,13,50,789 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 50

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

1,2,5,10,25,50

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 85,13,50,789 . The biggest common factor number is the GCF number.
So the greatest common factor 85,13,50,789 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 21/85, 20/13, 82/50, 34/789

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 21/85, 20/13, 82/50, 34/789?

Answer: LCM of Numerators as per given numbers 21/85, 20/13, 82/50, 34/789 is

LCM of Numerators i.e. for 21,20,82,34 is 292740

GCF of denominators i.e. for 85,13,50,789 is 1.

Thus, LCM of Fractions is 292740.Finally, LCM of Fractions for 21/85, 20/13, 82/50, 34/789 is 292740.