Least Common Multiple of 81/20, 29/73, 779/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/20, 29/73, 779/570 quickly i.e. 1829871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/20, 29/73, 779/570 is 1829871.

LCM(81/20, 29/73, 779/570) = 1829871

LCM of 81/20, 29/73, 779/570

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 81/20,29/73,779/570

Given numbers are 81/20,29/73,779/570

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 81,29,779

Least Common Multiple of Numerators i.e. LCM of 81,29,779 is 1829871.

GCF of Denominators means GCF of 20,73,570 as per the given fractions.

GCF of 20,73,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,29,779

LCM of Fractions 81/20,29/73,779/570 is 1829871

Given numbers has no common factors except 1. So, there LCM is their product i.e 1829871

Least Common Multiple of 81,29,779 with GCF Formula

Least Common Multiple of 81,29,779 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 81,29,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,29,779) = 1

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

GCF(81,29,779) x common factors =1 x 1 = 1

LCM(81,29,779) = ( 81 × 29 × 779 ) / 1

LCM(81,29,779) = 1829871 / 1

LCM(81,29,779) = 1829871


Lets's calculate GCF of 20,73,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1829871/1

Therefore the LCM of Fractions 81/20,29/73,779/570 is 1829871

Greatest Common Factor of 20,73,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,73,570 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 20,73,570 . The biggest common factor number is the GCF number.
So the greatest common factor 20,73,570 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 81/20, 29/73, 779/570

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 81/20, 29/73, 779/570?

Answer: LCM of Numerators as per given numbers 81/20, 29/73, 779/570 is

LCM of Numerators i.e. for 81,29,779 is 1829871

GCF of denominators i.e. for 20,73,570 is 1.

Thus, LCM of Fractions is 1829871.Finally, LCM of Fractions for 81/20, 29/73, 779/570 is 1829871.