Least Common Multiple of 7760/369, 7116/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7760/369, 7116/399 quickly i.e. 4601680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7760/369, 7116/399 is 4601680.

LCM(7760/369, 7116/399) = 4601680

LCM of 7760/369, 7116/399

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 7760/369,7116/399

Given numbers are 7760/369,7116/399

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 7760,7116

Least Common Multiple of Numerators i.e. LCM of 7760,7116 is 13805040.

GCF of Denominators means GCF of 369,399 as per the given fractions.

GCF of 369,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7760,7116

LCM of Fractions 7760/369,7116/399 is 4601680

2 7760, 7116
2 3880, 3558
1940, 1779

∴ So the LCM of the given numbers is 2 x 2 x 1940 x 1779 = 13805040

Least Common Multiple of 7760,7116 with GCF Formula

Least Common Multiple of 7760,7116 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 7760,7116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7760,7116) = 4

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

GCF(7760,7116) x common factors =4 x 1 = 4

LCM(7760,7116) = ( 7760 × 7116 ) / 4

LCM(7760,7116) = 55220160 / 4

LCM(7760,7116) = 13805040


Lets's calculate GCF of 369,399

3 369, 399
123, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13805040/3

Therefore the LCM of Fractions 7760/369,7116/399 is 4601680

Greatest Common Factor of 369,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,399 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 369,399 . The biggest common factor number is the GCF number.
So the greatest common factor 369,399 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 7760/369, 7116/399

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 7760/369, 7116/399?

Answer: LCM of Numerators as per given numbers 7760/369, 7116/399 is

LCM of Numerators i.e. for 7760,7116 is 13805040

GCF of denominators i.e. for 369,399 is 3.

Thus, LCM of Fractions is 4601680.Finally, LCM of Fractions for 7760/369, 7116/399 is 4601680.