Least Common Multiple of 1212/144, 3105/6107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1212/144, 3105/6107 quickly i.e. 1254420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1212/144, 3105/6107 is 1254420.

LCM(1212/144, 3105/6107) = 1254420

LCM of 1212/144, 3105/6107

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 1212/144,3105/6107

Given numbers are 1212/144,3105/6107

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 1212,3105

Least Common Multiple of Numerators i.e. LCM of 1212,3105 is 1254420.

GCF of Denominators means GCF of 144,6107 as per the given fractions.

GCF of 144,6107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1212,3105

LCM of Fractions 1212/144,3105/6107 is 1254420

3 1212, 3105
404, 1035

∴ So the LCM of the given numbers is 3 x 404 x 1035 = 1254420

Least Common Multiple of 1212,3105 with GCF Formula

Least Common Multiple of 1212,3105 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 1212,3105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1212,3105) = 3

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

GCF(1212,3105) x common factors =3 x 1 = 3

LCM(1212,3105) = ( 1212 × 3105 ) / 3

LCM(1212,3105) = 3763260 / 3

LCM(1212,3105) = 1254420


Lets's calculate GCF of 144,6107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254420/1

Therefore the LCM of Fractions 1212/144,3105/6107 is 1254420

Greatest Common Factor of 144,6107 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,6107 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 6107

List of positive integer factors of 6107 that divides 6107 without a remainder.

1,31,197,6107

Greatest Common Factor

We found the factors 144,6107 . The biggest common factor number is the GCF number.
So the greatest common factor 144,6107 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 1212/144, 3105/6107

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 1212/144, 3105/6107?

Answer: LCM of Numerators as per given numbers 1212/144, 3105/6107 is

LCM of Numerators i.e. for 1212,3105 is 1254420

GCF of denominators i.e. for 144,6107 is 1.

Thus, LCM of Fractions is 1254420.Finally, LCM of Fractions for 1212/144, 3105/6107 is 1254420.