Least Common Multiple of 5907/816, 9084/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5907/816, 9084/309 quickly i.e. 5962132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5907/816, 9084/309 is 5962132.

LCM(5907/816, 9084/309) = 5962132

LCM of 5907/816, 9084/309

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 5907/816,9084/309

Given numbers are 5907/816,9084/309

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 5907,9084

Least Common Multiple of Numerators i.e. LCM of 5907,9084 is 17886396.

GCF of Denominators means GCF of 816,309 as per the given fractions.

GCF of 816,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5907,9084

LCM of Fractions 5907/816,9084/309 is 5962132

3 5907, 9084
1969, 3028

∴ So the LCM of the given numbers is 3 x 1969 x 3028 = 17886396

Least Common Multiple of 5907,9084 with GCF Formula

Least Common Multiple of 5907,9084 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 5907,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5907,9084) = 3

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

GCF(5907,9084) x common factors =3 x 1 = 3

LCM(5907,9084) = ( 5907 × 9084 ) / 3

LCM(5907,9084) = 53659188 / 3

LCM(5907,9084) = 17886396


Lets's calculate GCF of 816,309

3 816, 309
272, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17886396/3

Therefore the LCM of Fractions 5907/816,9084/309 is 5962132

Greatest Common Factor of 816,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,309 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 816,309 . The biggest common factor number is the GCF number.
So the greatest common factor 816,309 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 5907/816, 9084/309

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 5907/816, 9084/309?

Answer: LCM of Numerators as per given numbers 5907/816, 9084/309 is

LCM of Numerators i.e. for 5907,9084 is 17886396

GCF of denominators i.e. for 816,309 is 3.

Thus, LCM of Fractions is 5962132.Finally, LCM of Fractions for 5907/816, 9084/309 is 5962132.