Least Common Multiple of 5561/285, 6723/5825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5561/285, 6723/5825 quickly i.e. 450441/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5561/285, 6723/5825 is 450441/5.

LCM(5561/285, 6723/5825) = 450441/5

LCM of 5561/285, 6723/5825

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 5561/285,6723/5825

Given numbers are 5561/285,6723/5825

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 5561,6723

Least Common Multiple of Numerators i.e. LCM of 5561,6723 is 450441.

GCF of Denominators means GCF of 285,5825 as per the given fractions.

GCF of 285,5825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5561,6723

LCM of Fractions 5561/285,6723/5825 is 450441/5

83 5561, 6723
67, 81

∴ So the LCM of the given numbers is 83 x 67 x 81 = 450441

Least Common Multiple of 5561,6723 with GCF Formula

Least Common Multiple of 5561,6723 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 5561,6723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5561,6723) = 83

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

GCF(5561,6723) x common factors =83 x 1 = 83

LCM(5561,6723) = ( 5561 × 6723 ) / 83

LCM(5561,6723) = 37386603 / 83

LCM(5561,6723) = 450441


Lets's calculate GCF of 285,5825

5 285, 5825
57, 1165

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450441/5

Therefore the LCM of Fractions 5561/285,6723/5825 is 450441/5

Greatest Common Factor of 285,5825 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,5825 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1,5,25,233,1165,5825

Greatest Common Factor

We found the factors 285,5825 . The biggest common factor number is the GCF number.
So the greatest common factor 285,5825 is 5.


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 5561/285, 6723/5825

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 5561/285, 6723/5825?

Answer: LCM of Numerators as per given numbers 5561/285, 6723/5825 is

LCM of Numerators i.e. for 5561,6723 is 450441

GCF of denominators i.e. for 285,5825 is 5.

Thus, LCM of Fractions is 450441/5.Finally, LCM of Fractions for 5561/285, 6723/5825 is 450441/5.