Least Common Multiple of 20/36, 726/89, 473/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/36, 726/89, 473/307 quickly i.e. 312180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/36, 726/89, 473/307 is 312180.

LCM(20/36, 726/89, 473/307) = 312180

LCM of 20/36, 726/89, 473/307

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 20/36,726/89,473/307

Given numbers are 20/36,726/89,473/307

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 20,726,473

Least Common Multiple of Numerators i.e. LCM of 20,726,473 is 312180.

GCF of Denominators means GCF of 36,89,307 as per the given fractions.

GCF of 36,89,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,726,473

LCM of Fractions 20/36,726/89,473/307 is 312180

2 20, 726, 473
11 10, 363, 473
10, 33, 43

∴ So the LCM of the given numbers is 2 x 11 x 10 x 33 x 43 = 312180

Least Common Multiple of 20,726,473 with GCF Formula

Least Common Multiple of 20,726,473 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 20,726,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,726,473) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(20,726,473) x common factors =1 x 22 = 22

LCM(20,726,473) = ( 20 × 726 × 473 ) / 22

LCM(20,726,473) = 6867960 / 22

LCM(20,726,473) = 312180


Lets's calculate GCF of 36,89,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312180/1

Therefore the LCM of Fractions 20/36,726/89,473/307 is 312180

Greatest Common Factor of 36,89,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,89,307 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 36,89,307 . The biggest common factor number is the GCF number.
So the greatest common factor 36,89,307 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 20/36, 726/89, 473/307

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 20/36, 726/89, 473/307?

Answer: LCM of Numerators as per given numbers 20/36, 726/89, 473/307 is

LCM of Numerators i.e. for 20,726,473 is 312180

GCF of denominators i.e. for 36,89,307 is 1.

Thus, LCM of Fractions is 312180.Finally, LCM of Fractions for 20/36, 726/89, 473/307 is 312180.