Least Common Multiple of 5104/452, 5399/8612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5104/452, 5399/8612 quickly i.e. 6889124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5104/452, 5399/8612 is 6889124.

LCM(5104/452, 5399/8612) = 6889124

LCM of 5104/452, 5399/8612

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 5104/452,5399/8612

Given numbers are 5104/452,5399/8612

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 5104,5399

Least Common Multiple of Numerators i.e. LCM of 5104,5399 is 27556496.

GCF of Denominators means GCF of 452,8612 as per the given fractions.

GCF of 452,8612 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5104,5399

LCM of Fractions 5104/452,5399/8612 is 6889124

Given numbers has no common factors except 1. So, there LCM is their product i.e 27556496

Least Common Multiple of 5104,5399 with GCF Formula

Least Common Multiple of 5104,5399 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 5104,5399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5104,5399) = 1

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

GCF(5104,5399) x common factors =1 x 1 = 1

LCM(5104,5399) = ( 5104 × 5399 ) / 1

LCM(5104,5399) = 27556496 / 1

LCM(5104,5399) = 27556496


Lets's calculate GCF of 452,8612

2 452, 8612
2 226, 4306
113, 2153

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27556496/4

Therefore the LCM of Fractions 5104/452,5399/8612 is 6889124

Greatest Common Factor of 452,8612 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,8612 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1,2,4,2153,4306,8612

Greatest Common Factor

We found the factors 452,8612 . The biggest common factor number is the GCF number.
So the greatest common factor 452,8612 is 4.


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 5104/452, 5399/8612

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 5104/452, 5399/8612?

Answer: LCM of Numerators as per given numbers 5104/452, 5399/8612 is

LCM of Numerators i.e. for 5104,5399 is 27556496

GCF of denominators i.e. for 452,8612 is 4.

Thus, LCM of Fractions is 6889124.Finally, LCM of Fractions for 5104/452, 5399/8612 is 6889124.