Least Common Multiple of 596/375, 4721/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/375, 4721/528 quickly i.e. 2813716/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/375, 4721/528 is 2813716/3.

LCM(596/375, 4721/528) = 2813716/3

LCM of 596/375, 4721/528

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 596/375,4721/528

Given numbers are 596/375,4721/528

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 596,4721

Least Common Multiple of Numerators i.e. LCM of 596,4721 is 2813716.

GCF of Denominators means GCF of 375,528 as per the given fractions.

GCF of 375,528 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,4721

LCM of Fractions 596/375,4721/528 is 2813716/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2813716

Least Common Multiple of 596,4721 with GCF Formula

Least Common Multiple of 596,4721 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 596,4721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,4721) = 1

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

GCF(596,4721) x common factors =1 x 1 = 1

LCM(596,4721) = ( 596 × 4721 ) / 1

LCM(596,4721) = 2813716 / 1

LCM(596,4721) = 2813716


Lets's calculate GCF of 375,528

3 375, 528
125, 176

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2813716/3

Therefore the LCM of Fractions 596/375,4721/528 is 2813716/3

Greatest Common Factor of 375,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,528 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 375,528 . The biggest common factor number is the GCF number.
So the greatest common factor 375,528 is 3.


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 596/375, 4721/528

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 596/375, 4721/528?

Answer: LCM of Numerators as per given numbers 596/375, 4721/528 is

LCM of Numerators i.e. for 596,4721 is 2813716

GCF of denominators i.e. for 375,528 is 3.

Thus, LCM of Fractions is 2813716/3.Finally, LCM of Fractions for 596/375, 4721/528 is 2813716/3.