Least Common Multiple of 367/41, 2418/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/41, 2418/205 quickly i.e. 887406/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/41, 2418/205 is 887406/41.

LCM(367/41, 2418/205) = 887406/41

LCM of 367/41, 2418/205

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 367/41,2418/205

Given numbers are 367/41,2418/205

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 367,2418

Least Common Multiple of Numerators i.e. LCM of 367,2418 is 887406.

GCF of Denominators means GCF of 41,205 as per the given fractions.

GCF of 41,205 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,2418

LCM of Fractions 367/41,2418/205 is 887406/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 887406

Least Common Multiple of 367,2418 with GCF Formula

Least Common Multiple of 367,2418 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 367,2418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,2418) = 1

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

GCF(367,2418) x common factors =1 x 1 = 1

LCM(367,2418) = ( 367 × 2418 ) / 1

LCM(367,2418) = 887406 / 1

LCM(367,2418) = 887406


Lets's calculate GCF of 41,205

41 41, 205
1, 5

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 887406/41

Therefore the LCM of Fractions 367/41,2418/205 is 887406/41

Greatest Common Factor of 41,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,205 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 41,205 . The biggest common factor number is the GCF number.
So the greatest common factor 41,205 is 41.


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 367/41, 2418/205

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 367/41, 2418/205?

Answer: LCM of Numerators as per given numbers 367/41, 2418/205 is

LCM of Numerators i.e. for 367,2418 is 887406

GCF of denominators i.e. for 41,205 is 41.

Thus, LCM of Fractions is 887406/41.Finally, LCM of Fractions for 367/41, 2418/205 is 887406/41.