Least Common Multiple of 6216/820, 4440/3982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6216/820, 4440/3982 quickly i.e. 15540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6216/820, 4440/3982 is 15540.

LCM(6216/820, 4440/3982) = 15540

LCM of 6216/820, 4440/3982

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 6216/820,4440/3982

Given numbers are 6216/820,4440/3982

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 6216,4440

Least Common Multiple of Numerators i.e. LCM of 6216,4440 is 31080.

GCF of Denominators means GCF of 820,3982 as per the given fractions.

GCF of 820,3982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6216,4440

LCM of Fractions 6216/820,4440/3982 is 15540

2 6216, 4440
2 3108, 2220
2 1554, 1110
3 777, 555
37 259, 185
7, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 7 x 5 = 31080

Least Common Multiple of 6216,4440 with GCF Formula

Least Common Multiple of 6216,4440 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 6216,4440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6216,4440) = 888

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

GCF(6216,4440) x common factors =888 x 1 = 888

LCM(6216,4440) = ( 6216 × 4440 ) / 888

LCM(6216,4440) = 27599040 / 888

LCM(6216,4440) = 31080


Lets's calculate GCF of 820,3982

2 820, 3982
410, 1991

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31080/2

Therefore the LCM of Fractions 6216/820,4440/3982 is 15540

Greatest Common Factor of 820,3982 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,3982 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1,2,11,22,181,362,1991,3982

Greatest Common Factor

We found the factors 820,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 820,3982 is 2.


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 6216/820, 4440/3982

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 6216/820, 4440/3982?

Answer: LCM of Numerators as per given numbers 6216/820, 4440/3982 is

LCM of Numerators i.e. for 6216,4440 is 31080

GCF of denominators i.e. for 820,3982 is 2.

Thus, LCM of Fractions is 15540.Finally, LCM of Fractions for 6216/820, 4440/3982 is 15540.