Least Common Multiple of 8020/30, 6146/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8020/30, 6146/363 quickly i.e. 24645460/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8020/30, 6146/363 is 24645460/3.

LCM(8020/30, 6146/363) = 24645460/3

LCM of 8020/30, 6146/363

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 8020/30,6146/363

Given numbers are 8020/30,6146/363

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 8020,6146

Least Common Multiple of Numerators i.e. LCM of 8020,6146 is 24645460.

GCF of Denominators means GCF of 30,363 as per the given fractions.

GCF of 30,363 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8020,6146

LCM of Fractions 8020/30,6146/363 is 24645460/3

2 8020, 6146
4010, 3073

∴ So the LCM of the given numbers is 2 x 4010 x 3073 = 24645460

Least Common Multiple of 8020,6146 with GCF Formula

Least Common Multiple of 8020,6146 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 8020,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8020,6146) = 2

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

GCF(8020,6146) x common factors =2 x 1 = 2

LCM(8020,6146) = ( 8020 × 6146 ) / 2

LCM(8020,6146) = 49290920 / 2

LCM(8020,6146) = 24645460


Lets's calculate GCF of 30,363

3 30, 363
10, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24645460/3

Therefore the LCM of Fractions 8020/30,6146/363 is 24645460/3

Greatest Common Factor of 30,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,363 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 30,363 . The biggest common factor number is the GCF number.
So the greatest common factor 30,363 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 8020/30, 6146/363

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 8020/30, 6146/363?

Answer: LCM of Numerators as per given numbers 8020/30, 6146/363 is

LCM of Numerators i.e. for 8020,6146 is 24645460

GCF of denominators i.e. for 30,363 is 3.

Thus, LCM of Fractions is 24645460/3.Finally, LCM of Fractions for 8020/30, 6146/363 is 24645460/3.