Least Common Multiple of 6489/304, 8034/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6489/304, 8034/657 quickly i.e. 168714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6489/304, 8034/657 is 168714.

LCM(6489/304, 8034/657) = 168714

LCM of 6489/304, 8034/657

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 6489/304,8034/657

Given numbers are 6489/304,8034/657

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 6489,8034

Least Common Multiple of Numerators i.e. LCM of 6489,8034 is 168714.

GCF of Denominators means GCF of 304,657 as per the given fractions.

GCF of 304,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6489,8034

LCM of Fractions 6489/304,8034/657 is 168714

3 6489, 8034
103 2163, 2678
21, 26

∴ So the LCM of the given numbers is 3 x 103 x 21 x 26 = 168714

Least Common Multiple of 6489,8034 with GCF Formula

Least Common Multiple of 6489,8034 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 6489,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6489,8034) = 309

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

GCF(6489,8034) x common factors =309 x 1 = 309

LCM(6489,8034) = ( 6489 × 8034 ) / 309

LCM(6489,8034) = 52132626 / 309

LCM(6489,8034) = 168714


Lets's calculate GCF of 304,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168714/1

Therefore the LCM of Fractions 6489/304,8034/657 is 168714

Greatest Common Factor of 304,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,657 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 304,657 . The biggest common factor number is the GCF number.
So the greatest common factor 304,657 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 6489/304, 8034/657

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 6489/304, 8034/657?

Answer: LCM of Numerators as per given numbers 6489/304, 8034/657 is

LCM of Numerators i.e. for 6489,8034 is 168714

GCF of denominators i.e. for 304,657 is 1.

Thus, LCM of Fractions is 168714.Finally, LCM of Fractions for 6489/304, 8034/657 is 168714.