Least Common Multiple of 6066/20, 5374/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6066/20, 5374/825 quickly i.e. 16299342/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6066/20, 5374/825 is 16299342/5.

LCM(6066/20, 5374/825) = 16299342/5

LCM of 6066/20, 5374/825

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 6066/20,5374/825

Given numbers are 6066/20,5374/825

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 6066,5374

Least Common Multiple of Numerators i.e. LCM of 6066,5374 is 16299342.

GCF of Denominators means GCF of 20,825 as per the given fractions.

GCF of 20,825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6066,5374

LCM of Fractions 6066/20,5374/825 is 16299342/5

2 6066, 5374
3033, 2687

∴ So the LCM of the given numbers is 2 x 3033 x 2687 = 16299342

Least Common Multiple of 6066,5374 with GCF Formula

Least Common Multiple of 6066,5374 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 6066,5374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6066,5374) = 2

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

GCF(6066,5374) x common factors =2 x 1 = 2

LCM(6066,5374) = ( 6066 × 5374 ) / 2

LCM(6066,5374) = 32598684 / 2

LCM(6066,5374) = 16299342


Lets's calculate GCF of 20,825

5 20, 825
4, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16299342/5

Therefore the LCM of Fractions 6066/20,5374/825 is 16299342/5

Greatest Common Factor of 20,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,825 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 20,825 . The biggest common factor number is the GCF number.
So the greatest common factor 20,825 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 6066/20, 5374/825

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 6066/20, 5374/825?

Answer: LCM of Numerators as per given numbers 6066/20, 5374/825 is

LCM of Numerators i.e. for 6066,5374 is 16299342

GCF of denominators i.e. for 20,825 is 5.

Thus, LCM of Fractions is 16299342/5.Finally, LCM of Fractions for 6066/20, 5374/825 is 16299342/5.