Least Common Multiple of 20/618, 161/45, 142/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/618, 161/45, 142/771 quickly i.e. 228620/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/618, 161/45, 142/771 is 228620/3.

LCM(20/618, 161/45, 142/771) = 228620/3

LCM of 20/618, 161/45, 142/771

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 20/618,161/45,142/771

Given numbers are 20/618,161/45,142/771

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 20,161,142

Least Common Multiple of Numerators i.e. LCM of 20,161,142 is 228620.

GCF of Denominators means GCF of 618,45,771 as per the given fractions.

GCF of 618,45,771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,161,142

LCM of Fractions 20/618,161/45,142/771 is 228620/3

2 20, 161, 142
10, 161, 71

∴ So the LCM of the given numbers is 2 x 10 x 161 x 71 = 228620

Least Common Multiple of 20,161,142 with GCF Formula

Least Common Multiple of 20,161,142 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 20,161,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,161,142) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,161,142) x common factors =1 x 2 = 2

LCM(20,161,142) = ( 20 × 161 × 142 ) / 2

LCM(20,161,142) = 457240 / 2

LCM(20,161,142) = 228620


Lets's calculate GCF of 618,45,771

3 618, 45, 771
206, 15, 257

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228620/3

Therefore the LCM of Fractions 20/618,161/45,142/771 is 228620/3

Greatest Common Factor of 618,45,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,45,771 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 618,45,771 . The biggest common factor number is the GCF number.
So the greatest common factor 618,45,771 is 3.


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 20/618, 161/45, 142/771

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 20/618, 161/45, 142/771?

Answer: LCM of Numerators as per given numbers 20/618, 161/45, 142/771 is

LCM of Numerators i.e. for 20,161,142 is 228620

GCF of denominators i.e. for 618,45,771 is 3.

Thus, LCM of Fractions is 228620/3.Finally, LCM of Fractions for 20/618, 161/45, 142/771 is 228620/3.