Least Common Multiple of 6783/199, 5328/1213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6783/199, 5328/1213 quickly i.e. 12046608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6783/199, 5328/1213 is 12046608.

LCM(6783/199, 5328/1213) = 12046608

LCM of 6783/199, 5328/1213

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 6783/199,5328/1213

Given numbers are 6783/199,5328/1213

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 6783,5328

Least Common Multiple of Numerators i.e. LCM of 6783,5328 is 12046608.

GCF of Denominators means GCF of 199,1213 as per the given fractions.

GCF of 199,1213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6783,5328

LCM of Fractions 6783/199,5328/1213 is 12046608

3 6783, 5328
2261, 1776

∴ So the LCM of the given numbers is 3 x 2261 x 1776 = 12046608

Least Common Multiple of 6783,5328 with GCF Formula

Least Common Multiple of 6783,5328 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 6783,5328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6783,5328) = 3

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

GCF(6783,5328) x common factors =3 x 1 = 3

LCM(6783,5328) = ( 6783 × 5328 ) / 3

LCM(6783,5328) = 36139824 / 3

LCM(6783,5328) = 12046608


Lets's calculate GCF of 199,1213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12046608/1

Therefore the LCM of Fractions 6783/199,5328/1213 is 12046608

Greatest Common Factor of 199,1213 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,1213 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1,1213

Greatest Common Factor

We found the factors 199,1213 . The biggest common factor number is the GCF number.
So the greatest common factor 199,1213 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 6783/199, 5328/1213

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 6783/199, 5328/1213?

Answer: LCM of Numerators as per given numbers 6783/199, 5328/1213 is

LCM of Numerators i.e. for 6783,5328 is 12046608

GCF of denominators i.e. for 199,1213 is 1.

Thus, LCM of Fractions is 12046608.Finally, LCM of Fractions for 6783/199, 5328/1213 is 12046608.