Least Common Multiple of 5535/827, 6104/5123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5535/827, 6104/5123 quickly i.e. 33785640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5535/827, 6104/5123 is 33785640.

LCM(5535/827, 6104/5123) = 33785640

LCM of 5535/827, 6104/5123

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 5535/827,6104/5123

Given numbers are 5535/827,6104/5123

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 5535,6104

Least Common Multiple of Numerators i.e. LCM of 5535,6104 is 33785640.

GCF of Denominators means GCF of 827,5123 as per the given fractions.

GCF of 827,5123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5535,6104

LCM of Fractions 5535/827,6104/5123 is 33785640

Given numbers has no common factors except 1. So, there LCM is their product i.e 33785640

Least Common Multiple of 5535,6104 with GCF Formula

Least Common Multiple of 5535,6104 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 5535,6104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5535,6104) = 1

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

GCF(5535,6104) x common factors =1 x 1 = 1

LCM(5535,6104) = ( 5535 × 6104 ) / 1

LCM(5535,6104) = 33785640 / 1

LCM(5535,6104) = 33785640


Lets's calculate GCF of 827,5123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33785640/1

Therefore the LCM of Fractions 5535/827,6104/5123 is 33785640

Greatest Common Factor of 827,5123 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,5123 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 5123

List of positive integer factors of 5123 that divides 5123 without a remainder.

1,47,109,5123

Greatest Common Factor

We found the factors 827,5123 . The biggest common factor number is the GCF number.
So the greatest common factor 827,5123 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 5535/827, 6104/5123

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 5535/827, 6104/5123?

Answer: LCM of Numerators as per given numbers 5535/827, 6104/5123 is

LCM of Numerators i.e. for 5535,6104 is 33785640

GCF of denominators i.e. for 827,5123 is 1.

Thus, LCM of Fractions is 33785640.Finally, LCM of Fractions for 5535/827, 6104/5123 is 33785640.