Least Common Multiple of 3180/367, 9406/4044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3180/367, 9406/4044 quickly i.e. 14955540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3180/367, 9406/4044 is 14955540.

LCM(3180/367, 9406/4044) = 14955540

LCM of 3180/367, 9406/4044

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 3180/367,9406/4044

Given numbers are 3180/367,9406/4044

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 3180,9406

Least Common Multiple of Numerators i.e. LCM of 3180,9406 is 14955540.

GCF of Denominators means GCF of 367,4044 as per the given fractions.

GCF of 367,4044 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3180,9406

LCM of Fractions 3180/367,9406/4044 is 14955540

2 3180, 9406
1590, 4703

∴ So the LCM of the given numbers is 2 x 1590 x 4703 = 14955540

Least Common Multiple of 3180,9406 with GCF Formula

Least Common Multiple of 3180,9406 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 3180,9406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3180,9406) = 2

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

GCF(3180,9406) x common factors =2 x 1 = 2

LCM(3180,9406) = ( 3180 × 9406 ) / 2

LCM(3180,9406) = 29911080 / 2

LCM(3180,9406) = 14955540


Lets's calculate GCF of 367,4044

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14955540/1

Therefore the LCM of Fractions 3180/367,9406/4044 is 14955540

Greatest Common Factor of 367,4044 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,4044 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1,2,3,4,6,12,337,674,1011,1348,2022,4044

Greatest Common Factor

We found the factors 367,4044 . The biggest common factor number is the GCF number.
So the greatest common factor 367,4044 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 3180/367, 9406/4044

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 3180/367, 9406/4044?

Answer: LCM of Numerators as per given numbers 3180/367, 9406/4044 is

LCM of Numerators i.e. for 3180,9406 is 14955540

GCF of denominators i.e. for 367,4044 is 1.

Thus, LCM of Fractions is 14955540.Finally, LCM of Fractions for 3180/367, 9406/4044 is 14955540.