Least Common Multiple of 904/594, 4975/8439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/594, 4975/8439 quickly i.e. 4497400/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/594, 4975/8439 is 4497400/3.

LCM(904/594, 4975/8439) = 4497400/3

LCM of 904/594, 4975/8439

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 904/594,4975/8439

Given numbers are 904/594,4975/8439

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 904,4975

Least Common Multiple of Numerators i.e. LCM of 904,4975 is 4497400.

GCF of Denominators means GCF of 594,8439 as per the given fractions.

GCF of 594,8439 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,4975

LCM of Fractions 904/594,4975/8439 is 4497400/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4497400

Least Common Multiple of 904,4975 with GCF Formula

Least Common Multiple of 904,4975 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 904,4975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,4975) = 1

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

GCF(904,4975) x common factors =1 x 1 = 1

LCM(904,4975) = ( 904 × 4975 ) / 1

LCM(904,4975) = 4497400 / 1

LCM(904,4975) = 4497400


Lets's calculate GCF of 594,8439

3 594, 8439
198, 2813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4497400/3

Therefore the LCM of Fractions 904/594,4975/8439 is 4497400/3

Greatest Common Factor of 594,8439 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,8439 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 8439

List of positive integer factors of 8439 that divides 8439 without a remainder.

1,3,29,87,97,291,2813,8439

Greatest Common Factor

We found the factors 594,8439 . The biggest common factor number is the GCF number.
So the greatest common factor 594,8439 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 904/594, 4975/8439

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 904/594, 4975/8439?

Answer: LCM of Numerators as per given numbers 904/594, 4975/8439 is

LCM of Numerators i.e. for 904,4975 is 4497400

GCF of denominators i.e. for 594,8439 is 3.

Thus, LCM of Fractions is 4497400/3.Finally, LCM of Fractions for 904/594, 4975/8439 is 4497400/3.