Least Common Multiple of 309/306, 8353/7176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/306, 8353/7176 quickly i.e. 2581077/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/306, 8353/7176 is 2581077/6.

LCM(309/306, 8353/7176) = 2581077/6

LCM of 309/306, 8353/7176

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 309/306,8353/7176

Given numbers are 309/306,8353/7176

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 309,8353

Least Common Multiple of Numerators i.e. LCM of 309,8353 is 2581077.

GCF of Denominators means GCF of 306,7176 as per the given fractions.

GCF of 306,7176 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,8353

LCM of Fractions 309/306,8353/7176 is 2581077/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 2581077

Least Common Multiple of 309,8353 with GCF Formula

Least Common Multiple of 309,8353 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 309,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,8353) = 1

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

GCF(309,8353) x common factors =1 x 1 = 1

LCM(309,8353) = ( 309 × 8353 ) / 1

LCM(309,8353) = 2581077 / 1

LCM(309,8353) = 2581077


Lets's calculate GCF of 306,7176

2 306, 7176
3 153, 3588
51, 1196

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2581077/6

Therefore the LCM of Fractions 309/306,8353/7176 is 2581077/6

Greatest Common Factor of 306,7176 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,7176 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Greatest Common Factor

We found the factors 306,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 306,7176 is 6.


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 309/306, 8353/7176

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 309/306, 8353/7176?

Answer: LCM of Numerators as per given numbers 309/306, 8353/7176 is

LCM of Numerators i.e. for 309,8353 is 2581077

GCF of denominators i.e. for 306,7176 is 6.

Thus, LCM of Fractions is 2581077/6.Finally, LCM of Fractions for 309/306, 8353/7176 is 2581077/6.