Least Common Multiple of 6489/397, 3804/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6489/397, 3804/115 quickly i.e. 8228052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6489/397, 3804/115 is 8228052.

LCM(6489/397, 3804/115) = 8228052

LCM of 6489/397, 3804/115

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 6489/397,3804/115

Given numbers are 6489/397,3804/115

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 6489,3804

Least Common Multiple of Numerators i.e. LCM of 6489,3804 is 8228052.

GCF of Denominators means GCF of 397,115 as per the given fractions.

GCF of 397,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6489,3804

LCM of Fractions 6489/397,3804/115 is 8228052

3 6489, 3804
2163, 1268

∴ So the LCM of the given numbers is 3 x 2163 x 1268 = 8228052

Least Common Multiple of 6489,3804 with GCF Formula

Least Common Multiple of 6489,3804 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 6489,3804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6489,3804) = 3

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

GCF(6489,3804) x common factors =3 x 1 = 3

LCM(6489,3804) = ( 6489 × 3804 ) / 3

LCM(6489,3804) = 24684156 / 3

LCM(6489,3804) = 8228052


Lets's calculate GCF of 397,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8228052/1

Therefore the LCM of Fractions 6489/397,3804/115 is 8228052

Greatest Common Factor of 397,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,115 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 397,115 . The biggest common factor number is the GCF number.
So the greatest common factor 397,115 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 6489/397, 3804/115

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 6489/397, 3804/115?

Answer: LCM of Numerators as per given numbers 6489/397, 3804/115 is

LCM of Numerators i.e. for 6489,3804 is 8228052

GCF of denominators i.e. for 397,115 is 1.

Thus, LCM of Fractions is 8228052.Finally, LCM of Fractions for 6489/397, 3804/115 is 8228052.