Least Common Multiple of 8216/596, 9986/5317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8216/596, 9986/5317 quickly i.e. 41022488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8216/596, 9986/5317 is 41022488.

LCM(8216/596, 9986/5317) = 41022488

LCM of 8216/596, 9986/5317

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 8216/596,9986/5317

Given numbers are 8216/596,9986/5317

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 8216,9986

Least Common Multiple of Numerators i.e. LCM of 8216,9986 is 41022488.

GCF of Denominators means GCF of 596,5317 as per the given fractions.

GCF of 596,5317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8216,9986

LCM of Fractions 8216/596,9986/5317 is 41022488

2 8216, 9986
4108, 4993

∴ So the LCM of the given numbers is 2 x 4108 x 4993 = 41022488

Least Common Multiple of 8216,9986 with GCF Formula

Least Common Multiple of 8216,9986 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 8216,9986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8216,9986) = 2

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

GCF(8216,9986) x common factors =2 x 1 = 2

LCM(8216,9986) = ( 8216 × 9986 ) / 2

LCM(8216,9986) = 82044976 / 2

LCM(8216,9986) = 41022488


Lets's calculate GCF of 596,5317

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41022488/1

Therefore the LCM of Fractions 8216/596,9986/5317 is 41022488

Greatest Common Factor of 596,5317 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,5317 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 5317

List of positive integer factors of 5317 that divides 5317 without a remainder.

1,13,409,5317

Greatest Common Factor

We found the factors 596,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 596,5317 is 1.


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 8216/596, 9986/5317

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 8216/596, 9986/5317?

Answer: LCM of Numerators as per given numbers 8216/596, 9986/5317 is

LCM of Numerators i.e. for 8216,9986 is 41022488

GCF of denominators i.e. for 596,5317 is 1.

Thus, LCM of Fractions is 41022488.Finally, LCM of Fractions for 8216/596, 9986/5317 is 41022488.