Least Common Multiple of 6120/361, 6178/2409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6120/361, 6178/2409 quickly i.e. 18904680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6120/361, 6178/2409 is 18904680.

LCM(6120/361, 6178/2409) = 18904680

LCM of 6120/361, 6178/2409

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 6120/361,6178/2409

Given numbers are 6120/361,6178/2409

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 6120,6178

Least Common Multiple of Numerators i.e. LCM of 6120,6178 is 18904680.

GCF of Denominators means GCF of 361,2409 as per the given fractions.

GCF of 361,2409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6120,6178

LCM of Fractions 6120/361,6178/2409 is 18904680

2 6120, 6178
3060, 3089

∴ So the LCM of the given numbers is 2 x 3060 x 3089 = 18904680

Least Common Multiple of 6120,6178 with GCF Formula

Least Common Multiple of 6120,6178 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 6120,6178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6120,6178) = 2

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

GCF(6120,6178) x common factors =2 x 1 = 2

LCM(6120,6178) = ( 6120 × 6178 ) / 2

LCM(6120,6178) = 37809360 / 2

LCM(6120,6178) = 18904680


Lets's calculate GCF of 361,2409

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18904680/1

Therefore the LCM of Fractions 6120/361,6178/2409 is 18904680

Greatest Common Factor of 361,2409 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,2409 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1,3,11,33,73,219,803,2409

Greatest Common Factor

We found the factors 361,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 361,2409 is 1.


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 6120/361, 6178/2409

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 6120/361, 6178/2409?

Answer: LCM of Numerators as per given numbers 6120/361, 6178/2409 is

LCM of Numerators i.e. for 6120,6178 is 18904680

GCF of denominators i.e. for 361,2409 is 1.

Thus, LCM of Fractions is 18904680.Finally, LCM of Fractions for 6120/361, 6178/2409 is 18904680.