Least Common Multiple of 3323/213, 4887/8349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3323/213, 4887/8349 quickly i.e. 5413167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3323/213, 4887/8349 is 5413167.

LCM(3323/213, 4887/8349) = 5413167

LCM of 3323/213, 4887/8349

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 3323/213,4887/8349

Given numbers are 3323/213,4887/8349

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 3323,4887

Least Common Multiple of Numerators i.e. LCM of 3323,4887 is 16239501.

GCF of Denominators means GCF of 213,8349 as per the given fractions.

GCF of 213,8349 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3323,4887

LCM of Fractions 3323/213,4887/8349 is 5413167

Given numbers has no common factors except 1. So, there LCM is their product i.e 16239501

Least Common Multiple of 3323,4887 with GCF Formula

Least Common Multiple of 3323,4887 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 3323,4887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3323,4887) = 1

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

GCF(3323,4887) x common factors =1 x 1 = 1

LCM(3323,4887) = ( 3323 × 4887 ) / 1

LCM(3323,4887) = 16239501 / 1

LCM(3323,4887) = 16239501


Lets's calculate GCF of 213,8349

3 213, 8349
71, 2783

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16239501/3

Therefore the LCM of Fractions 3323/213,4887/8349 is 5413167

Greatest Common Factor of 213,8349 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,8349 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors 213,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 213,8349 is 3.


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 3323/213, 4887/8349

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 3323/213, 4887/8349?

Answer: LCM of Numerators as per given numbers 3323/213, 4887/8349 is

LCM of Numerators i.e. for 3323,4887 is 16239501

GCF of denominators i.e. for 213,8349 is 3.

Thus, LCM of Fractions is 5413167.Finally, LCM of Fractions for 3323/213, 4887/8349 is 5413167.