Least Common Multiple of 572/49, 327/77, 338/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/49, 327/77, 338/30 quickly i.e. 2431572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/49, 327/77, 338/30 is 2431572.

LCM(572/49, 327/77, 338/30) = 2431572

LCM of 572/49, 327/77, 338/30

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 572/49,327/77,338/30

Given numbers are 572/49,327/77,338/30

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 572,327,338

Least Common Multiple of Numerators i.e. LCM of 572,327,338 is 2431572.

GCF of Denominators means GCF of 49,77,30 as per the given fractions.

GCF of 49,77,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,327,338

LCM of Fractions 572/49,327/77,338/30 is 2431572

2 572, 327, 338
13 286, 327, 169
22, 327, 13

∴ So the LCM of the given numbers is 2 x 13 x 22 x 327 x 13 = 2431572

Least Common Multiple of 572,327,338 with GCF Formula

Least Common Multiple of 572,327,338 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 572,327,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,327,338) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(572,327,338) x common factors =1 x 26 = 26

LCM(572,327,338) = ( 572 × 327 × 338 ) / 26

LCM(572,327,338) = 63220872 / 26

LCM(572,327,338) = 2431572


Lets's calculate GCF of 49,77,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2431572/1

Therefore the LCM of Fractions 572/49,327/77,338/30 is 2431572

Greatest Common Factor of 49,77,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,77,30 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 49,77,30 . The biggest common factor number is the GCF number.
So the greatest common factor 49,77,30 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 572/49, 327/77, 338/30

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 572/49, 327/77, 338/30?

Answer: LCM of Numerators as per given numbers 572/49, 327/77, 338/30 is

LCM of Numerators i.e. for 572,327,338 is 2431572

GCF of denominators i.e. for 49,77,30 is 1.

Thus, LCM of Fractions is 2431572.Finally, LCM of Fractions for 572/49, 327/77, 338/30 is 2431572.