Least Common Multiple of 189/582, 2020/4146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/582, 2020/4146 quickly i.e. 63630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/582, 2020/4146 is 63630.

LCM(189/582, 2020/4146) = 63630

LCM of 189/582, 2020/4146

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 189/582,2020/4146

Given numbers are 189/582,2020/4146

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 189,2020

Least Common Multiple of Numerators i.e. LCM of 189,2020 is 381780.

GCF of Denominators means GCF of 582,4146 as per the given fractions.

GCF of 582,4146 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,2020

LCM of Fractions 189/582,2020/4146 is 63630

Given numbers has no common factors except 1. So, there LCM is their product i.e 381780

Least Common Multiple of 189,2020 with GCF Formula

Least Common Multiple of 189,2020 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 189,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,2020) = 1

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

GCF(189,2020) x common factors =1 x 1 = 1

LCM(189,2020) = ( 189 × 2020 ) / 1

LCM(189,2020) = 381780 / 1

LCM(189,2020) = 381780


Lets's calculate GCF of 582,4146

2 582, 4146
3 291, 2073
97, 691

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381780/6

Therefore the LCM of Fractions 189/582,2020/4146 is 63630

Greatest Common Factor of 582,4146 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,4146 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

Greatest Common Factor

We found the factors 582,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 582,4146 is 6.


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 189/582, 2020/4146

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 189/582, 2020/4146?

Answer: LCM of Numerators as per given numbers 189/582, 2020/4146 is

LCM of Numerators i.e. for 189,2020 is 381780

GCF of denominators i.e. for 582,4146 is 6.

Thus, LCM of Fractions is 63630.Finally, LCM of Fractions for 189/582, 2020/4146 is 63630.