Least Common Multiple of 1204/378, 7407/8144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1204/378, 7407/8144 quickly i.e. 4459014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1204/378, 7407/8144 is 4459014.

LCM(1204/378, 7407/8144) = 4459014

LCM of 1204/378, 7407/8144

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 1204/378,7407/8144

Given numbers are 1204/378,7407/8144

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 1204,7407

Least Common Multiple of Numerators i.e. LCM of 1204,7407 is 8918028.

GCF of Denominators means GCF of 378,8144 as per the given fractions.

GCF of 378,8144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1204,7407

LCM of Fractions 1204/378,7407/8144 is 4459014

Given numbers has no common factors except 1. So, there LCM is their product i.e 8918028

Least Common Multiple of 1204,7407 with GCF Formula

Least Common Multiple of 1204,7407 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 1204,7407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1204,7407) = 1

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

GCF(1204,7407) x common factors =1 x 1 = 1

LCM(1204,7407) = ( 1204 × 7407 ) / 1

LCM(1204,7407) = 8918028 / 1

LCM(1204,7407) = 8918028


Lets's calculate GCF of 378,8144

2 378, 8144
189, 4072

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8918028/2

Therefore the LCM of Fractions 1204/378,7407/8144 is 4459014

Greatest Common Factor of 378,8144 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,8144 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Greatest Common Factor

We found the factors 378,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 378,8144 is 2.


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 1204/378, 7407/8144

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 1204/378, 7407/8144?

Answer: LCM of Numerators as per given numbers 1204/378, 7407/8144 is

LCM of Numerators i.e. for 1204,7407 is 8918028

GCF of denominators i.e. for 378,8144 is 2.

Thus, LCM of Fractions is 4459014.Finally, LCM of Fractions for 1204/378, 7407/8144 is 4459014.