Least Common Multiple of 76/799, 519/342, 521/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/799, 519/342, 521/225 quickly i.e. 20550324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/799, 519/342, 521/225 is 20550324.

LCM(76/799, 519/342, 521/225) = 20550324

LCM of 76/799, 519/342, 521/225

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 76/799,519/342,521/225

Given numbers are 76/799,519/342,521/225

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 76,519,521

Least Common Multiple of Numerators i.e. LCM of 76,519,521 is 20550324.

GCF of Denominators means GCF of 799,342,225 as per the given fractions.

GCF of 799,342,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,519,521

LCM of Fractions 76/799,519/342,521/225 is 20550324

Given numbers has no common factors except 1. So, there LCM is their product i.e 20550324

Least Common Multiple of 76,519,521 with GCF Formula

Least Common Multiple of 76,519,521 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 76,519,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,519,521) = 1

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

GCF(76,519,521) x common factors =1 x 1 = 1

LCM(76,519,521) = ( 76 × 519 × 521 ) / 1

LCM(76,519,521) = 20550324 / 1

LCM(76,519,521) = 20550324


Lets's calculate GCF of 799,342,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20550324/1

Therefore the LCM of Fractions 76/799,519/342,521/225 is 20550324

Greatest Common Factor of 799,342,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,342,225 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 799,342,225 . The biggest common factor number is the GCF number.
So the greatest common factor 799,342,225 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 76/799, 519/342, 521/225

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 76/799, 519/342, 521/225?

Answer: LCM of Numerators as per given numbers 76/799, 519/342, 521/225 is

LCM of Numerators i.e. for 76,519,521 is 20550324

GCF of denominators i.e. for 799,342,225 is 1.

Thus, LCM of Fractions is 20550324.Finally, LCM of Fractions for 76/799, 519/342, 521/225 is 20550324.