Least Common Multiple of 2367/111, 8360/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2367/111, 8360/378 quickly i.e. 6596040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2367/111, 8360/378 is 6596040.

LCM(2367/111, 8360/378) = 6596040

LCM of 2367/111, 8360/378

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 2367/111,8360/378

Given numbers are 2367/111,8360/378

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 2367,8360

Least Common Multiple of Numerators i.e. LCM of 2367,8360 is 19788120.

GCF of Denominators means GCF of 111,378 as per the given fractions.

GCF of 111,378 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2367,8360

LCM of Fractions 2367/111,8360/378 is 6596040

Given numbers has no common factors except 1. So, there LCM is their product i.e 19788120

Least Common Multiple of 2367,8360 with GCF Formula

Least Common Multiple of 2367,8360 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 2367,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2367,8360) = 1

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

GCF(2367,8360) x common factors =1 x 1 = 1

LCM(2367,8360) = ( 2367 × 8360 ) / 1

LCM(2367,8360) = 19788120 / 1

LCM(2367,8360) = 19788120


Lets's calculate GCF of 111,378

3 111, 378
37, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19788120/3

Therefore the LCM of Fractions 2367/111,8360/378 is 6596040

Greatest Common Factor of 111,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,378 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

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

Greatest Common Factor

We found the factors 111,378 . The biggest common factor number is the GCF number.
So the greatest common factor 111,378 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 2367/111, 8360/378

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 2367/111, 8360/378?

Answer: LCM of Numerators as per given numbers 2367/111, 8360/378 is

LCM of Numerators i.e. for 2367,8360 is 19788120

GCF of denominators i.e. for 111,378 is 3.

Thus, LCM of Fractions is 6596040.Finally, LCM of Fractions for 2367/111, 8360/378 is 6596040.