Least Common Multiple of 572/73, 688/18, 619/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/73, 688/18, 619/186 quickly i.e. 60899696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/73, 688/18, 619/186 is 60899696.

LCM(572/73, 688/18, 619/186) = 60899696

LCM of 572/73, 688/18, 619/186

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 572/73,688/18,619/186

Given numbers are 572/73,688/18,619/186

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 572,688,619

Least Common Multiple of Numerators i.e. LCM of 572,688,619 is 60899696.

GCF of Denominators means GCF of 73,18,186 as per the given fractions.

GCF of 73,18,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,688,619

LCM of Fractions 572/73,688/18,619/186 is 60899696

2 572, 688, 619
2 286, 344, 619
143, 172, 619

∴ So the LCM of the given numbers is 2 x 2 x 143 x 172 x 619 = 60899696

Least Common Multiple of 572,688,619 with GCF Formula

Least Common Multiple of 572,688,619 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 572,688,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,688,619) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(572,688,619) x common factors =1 x 4 = 4

LCM(572,688,619) = ( 572 × 688 × 619 ) / 4

LCM(572,688,619) = 243598784 / 4

LCM(572,688,619) = 60899696


Lets's calculate GCF of 73,18,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60899696/1

Therefore the LCM of Fractions 572/73,688/18,619/186 is 60899696

Greatest Common Factor of 73,18,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,18,186 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 73,18,186 . The biggest common factor number is the GCF number.
So the greatest common factor 73,18,186 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 572/73, 688/18, 619/186

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 572/73, 688/18, 619/186?

Answer: LCM of Numerators as per given numbers 572/73, 688/18, 619/186 is

LCM of Numerators i.e. for 572,688,619 is 60899696

GCF of denominators i.e. for 73,18,186 is 1.

Thus, LCM of Fractions is 60899696.Finally, LCM of Fractions for 572/73, 688/18, 619/186 is 60899696.