Least Common Multiple of 83/516, 5332/4964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/516, 5332/4964 quickly i.e. 110639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/516, 5332/4964 is 110639.

LCM(83/516, 5332/4964) = 110639

LCM of 83/516, 5332/4964

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 83/516,5332/4964

Given numbers are 83/516,5332/4964

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 83,5332

Least Common Multiple of Numerators i.e. LCM of 83,5332 is 442556.

GCF of Denominators means GCF of 516,4964 as per the given fractions.

GCF of 516,4964 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,5332

LCM of Fractions 83/516,5332/4964 is 110639

Given numbers has no common factors except 1. So, there LCM is their product i.e 442556

Least Common Multiple of 83,5332 with GCF Formula

Least Common Multiple of 83,5332 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 83,5332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,5332) = 1

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

GCF(83,5332) x common factors =1 x 1 = 1

LCM(83,5332) = ( 83 × 5332 ) / 1

LCM(83,5332) = 442556 / 1

LCM(83,5332) = 442556


Lets's calculate GCF of 516,4964

2 516, 4964
2 258, 2482
129, 1241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442556/4

Therefore the LCM of Fractions 83/516,5332/4964 is 110639

Greatest Common Factor of 516,4964 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,4964 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 4964

List of positive integer factors of 4964 that divides 4964 without a remainder.

1,2,4,17,34,68,73,146,292,1241,2482,4964

Greatest Common Factor

We found the factors 516,4964 . The biggest common factor number is the GCF number.
So the greatest common factor 516,4964 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 83/516, 5332/4964

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 83/516, 5332/4964?

Answer: LCM of Numerators as per given numbers 83/516, 5332/4964 is

LCM of Numerators i.e. for 83,5332 is 442556

GCF of denominators i.e. for 516,4964 is 4.

Thus, LCM of Fractions is 110639.Finally, LCM of Fractions for 83/516, 5332/4964 is 110639.