Least Common Multiple of 596/72, 815/74, 820/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/72, 815/74, 820/57 quickly i.e. 19915340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/72, 815/74, 820/57 is 19915340.

LCM(596/72, 815/74, 820/57) = 19915340

LCM of 596/72, 815/74, 820/57

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 596/72,815/74,820/57

Given numbers are 596/72,815/74,820/57

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 596,815,820

Least Common Multiple of Numerators i.e. LCM of 596,815,820 is 19915340.

GCF of Denominators means GCF of 72,74,57 as per the given fractions.

GCF of 72,74,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,815,820

LCM of Fractions 596/72,815/74,820/57 is 19915340

2 596, 815, 820
2 298, 815, 410
5 149, 815, 205
149, 163, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 149 x 163 x 41 = 19915340

Least Common Multiple of 596,815,820 with GCF Formula

Least Common Multiple of 596,815,820 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 596,815,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,815,820) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(596,815,820) x common factors =1 x 20 = 20

LCM(596,815,820) = ( 596 × 815 × 820 ) / 20

LCM(596,815,820) = 398306800 / 20

LCM(596,815,820) = 19915340


Lets's calculate GCF of 72,74,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19915340/1

Therefore the LCM of Fractions 596/72,815/74,820/57 is 19915340

Greatest Common Factor of 72,74,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,74,57 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 72,74,57 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,57 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 596/72, 815/74, 820/57

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 596/72, 815/74, 820/57?

Answer: LCM of Numerators as per given numbers 596/72, 815/74, 820/57 is

LCM of Numerators i.e. for 596,815,820 is 19915340

GCF of denominators i.e. for 72,74,57 is 1.

Thus, LCM of Fractions is 19915340.Finally, LCM of Fractions for 596/72, 815/74, 820/57 is 19915340.