Least Common Multiple of 3116/516, 3620/5668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3116/516, 3620/5668 quickly i.e. 704995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3116/516, 3620/5668 is 704995.

LCM(3116/516, 3620/5668) = 704995

LCM of 3116/516, 3620/5668

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 3116/516,3620/5668

Given numbers are 3116/516,3620/5668

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 3116,3620

Least Common Multiple of Numerators i.e. LCM of 3116,3620 is 2819980.

GCF of Denominators means GCF of 516,5668 as per the given fractions.

GCF of 516,5668 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3116,3620

LCM of Fractions 3116/516,3620/5668 is 704995

2 3116, 3620
2 1558, 1810
779, 905

∴ So the LCM of the given numbers is 2 x 2 x 779 x 905 = 2819980

Least Common Multiple of 3116,3620 with GCF Formula

Least Common Multiple of 3116,3620 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 3116,3620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3116,3620) = 4

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

GCF(3116,3620) x common factors =4 x 1 = 4

LCM(3116,3620) = ( 3116 × 3620 ) / 4

LCM(3116,3620) = 11279920 / 4

LCM(3116,3620) = 2819980


Lets's calculate GCF of 516,5668

2 516, 5668
2 258, 2834
129, 1417

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2819980/4

Therefore the LCM of Fractions 3116/516,3620/5668 is 704995

Greatest Common Factor of 516,5668 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,5668 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1,2,4,13,26,52,109,218,436,1417,2834,5668

Greatest Common Factor

We found the factors 516,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 516,5668 is 4.


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 3116/516, 3620/5668

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 3116/516, 3620/5668?

Answer: LCM of Numerators as per given numbers 3116/516, 3620/5668 is

LCM of Numerators i.e. for 3116,3620 is 2819980

GCF of denominators i.e. for 516,5668 is 4.

Thus, LCM of Fractions is 704995.Finally, LCM of Fractions for 3116/516, 3620/5668 is 704995.