Least Common Multiple of 20/284, 7081/7188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/284, 7081/7188 quickly i.e. 35405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/284, 7081/7188 is 35405.

LCM(20/284, 7081/7188) = 35405

LCM of 20/284, 7081/7188

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 20/284,7081/7188

Given numbers are 20/284,7081/7188

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 20,7081

Least Common Multiple of Numerators i.e. LCM of 20,7081 is 141620.

GCF of Denominators means GCF of 284,7188 as per the given fractions.

GCF of 284,7188 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,7081

LCM of Fractions 20/284,7081/7188 is 35405

Given numbers has no common factors except 1. So, there LCM is their product i.e 141620

Least Common Multiple of 20,7081 with GCF Formula

Least Common Multiple of 20,7081 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 20,7081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7081) = 1

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

GCF(20,7081) x common factors =1 x 1 = 1

LCM(20,7081) = ( 20 × 7081 ) / 1

LCM(20,7081) = 141620 / 1

LCM(20,7081) = 141620


Lets's calculate GCF of 284,7188

2 284, 7188
2 142, 3594
71, 1797

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141620/4

Therefore the LCM of Fractions 20/284,7081/7188 is 35405

Greatest Common Factor of 284,7188 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,7188 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1,2,3,4,6,12,599,1198,1797,2396,3594,7188

Greatest Common Factor

We found the factors 284,7188 . The biggest common factor number is the GCF number.
So the greatest common factor 284,7188 is 4.


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 20/284, 7081/7188

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 20/284, 7081/7188?

Answer: LCM of Numerators as per given numbers 20/284, 7081/7188 is

LCM of Numerators i.e. for 20,7081 is 141620

GCF of denominators i.e. for 284,7188 is 4.

Thus, LCM of Fractions is 35405.Finally, LCM of Fractions for 20/284, 7081/7188 is 35405.