Least Common Multiple of 36/221, 2020/1183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/221, 2020/1183 quickly i.e. 18180/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/221, 2020/1183 is 18180/13.

LCM(36/221, 2020/1183) = 18180/13

LCM of 36/221, 2020/1183

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 36/221,2020/1183

Given numbers are 36/221,2020/1183

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 36,2020

Least Common Multiple of Numerators i.e. LCM of 36,2020 is 18180.

GCF of Denominators means GCF of 221,1183 as per the given fractions.

GCF of 221,1183 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,2020

LCM of Fractions 36/221,2020/1183 is 18180/13

2 36, 2020
2 18, 1010
9, 505

∴ So the LCM of the given numbers is 2 x 2 x 9 x 505 = 18180

Least Common Multiple of 36,2020 with GCF Formula

Least Common Multiple of 36,2020 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 36,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,2020) = 4

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

GCF(36,2020) x common factors =4 x 1 = 4

LCM(36,2020) = ( 36 × 2020 ) / 4

LCM(36,2020) = 72720 / 4

LCM(36,2020) = 18180


Lets's calculate GCF of 221,1183

13 221, 1183
17, 91

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18180/13

Therefore the LCM of Fractions 36/221,2020/1183 is 18180/13

Greatest Common Factor of 221,1183 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,1183 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 1183

List of positive integer factors of 1183 that divides 1183 without a remainder.

1,7,13,91,169,1183

Greatest Common Factor

We found the factors 221,1183 . The biggest common factor number is the GCF number.
So the greatest common factor 221,1183 is 13.


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 36/221, 2020/1183

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 36/221, 2020/1183?

Answer: LCM of Numerators as per given numbers 36/221, 2020/1183 is

LCM of Numerators i.e. for 36,2020 is 18180

GCF of denominators i.e. for 221,1183 is 13.

Thus, LCM of Fractions is 18180/13.Finally, LCM of Fractions for 36/221, 2020/1183 is 18180/13.