Least Common Multiple of 8304/342, 7125/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8304/342, 7125/717 quickly i.e. 6574000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8304/342, 7125/717 is 6574000.

LCM(8304/342, 7125/717) = 6574000

LCM of 8304/342, 7125/717

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 8304/342,7125/717

Given numbers are 8304/342,7125/717

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 8304,7125

Least Common Multiple of Numerators i.e. LCM of 8304,7125 is 19722000.

GCF of Denominators means GCF of 342,717 as per the given fractions.

GCF of 342,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8304,7125

LCM of Fractions 8304/342,7125/717 is 6574000

3 8304, 7125
2768, 2375

∴ So the LCM of the given numbers is 3 x 2768 x 2375 = 19722000

Least Common Multiple of 8304,7125 with GCF Formula

Least Common Multiple of 8304,7125 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 8304,7125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8304,7125) = 3

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

GCF(8304,7125) x common factors =3 x 1 = 3

LCM(8304,7125) = ( 8304 × 7125 ) / 3

LCM(8304,7125) = 59166000 / 3

LCM(8304,7125) = 19722000


Lets's calculate GCF of 342,717

3 342, 717
114, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19722000/3

Therefore the LCM of Fractions 8304/342,7125/717 is 6574000

Greatest Common Factor of 342,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,717 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 342,717 . The biggest common factor number is the GCF number.
So the greatest common factor 342,717 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 8304/342, 7125/717

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 8304/342, 7125/717?

Answer: LCM of Numerators as per given numbers 8304/342, 7125/717 is

LCM of Numerators i.e. for 8304,7125 is 19722000

GCF of denominators i.e. for 342,717 is 3.

Thus, LCM of Fractions is 6574000.Finally, LCM of Fractions for 8304/342, 7125/717 is 6574000.