Least Common Multiple of 5286/330, 3020/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5286/330, 3020/143 quickly i.e. 7981860/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5286/330, 3020/143 is 7981860/11.

LCM(5286/330, 3020/143) = 7981860/11

LCM of 5286/330, 3020/143

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 5286/330,3020/143

Given numbers are 5286/330,3020/143

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 5286,3020

Least Common Multiple of Numerators i.e. LCM of 5286,3020 is 7981860.

GCF of Denominators means GCF of 330,143 as per the given fractions.

GCF of 330,143 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5286,3020

LCM of Fractions 5286/330,3020/143 is 7981860/11

2 5286, 3020
2643, 1510

∴ So the LCM of the given numbers is 2 x 2643 x 1510 = 7981860

Least Common Multiple of 5286,3020 with GCF Formula

Least Common Multiple of 5286,3020 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 5286,3020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5286,3020) = 2

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

GCF(5286,3020) x common factors =2 x 1 = 2

LCM(5286,3020) = ( 5286 × 3020 ) / 2

LCM(5286,3020) = 15963720 / 2

LCM(5286,3020) = 7981860


Lets's calculate GCF of 330,143

11 330, 143
30, 13

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7981860/11

Therefore the LCM of Fractions 5286/330,3020/143 is 7981860/11

Greatest Common Factor of 330,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,143 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 330,143 . The biggest common factor number is the GCF number.
So the greatest common factor 330,143 is 11.


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 5286/330, 3020/143

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 5286/330, 3020/143?

Answer: LCM of Numerators as per given numbers 5286/330, 3020/143 is

LCM of Numerators i.e. for 5286,3020 is 7981860

GCF of denominators i.e. for 330,143 is 11.

Thus, LCM of Fractions is 7981860/11.Finally, LCM of Fractions for 5286/330, 3020/143 is 7981860/11.