Least Common Multiple of 6138/111, 4856/2145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6138/111, 4856/2145 quickly i.e. 4967688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6138/111, 4856/2145 is 4967688.

LCM(6138/111, 4856/2145) = 4967688

LCM of 6138/111, 4856/2145

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 6138/111,4856/2145

Given numbers are 6138/111,4856/2145

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 6138,4856

Least Common Multiple of Numerators i.e. LCM of 6138,4856 is 14903064.

GCF of Denominators means GCF of 111,2145 as per the given fractions.

GCF of 111,2145 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6138,4856

LCM of Fractions 6138/111,4856/2145 is 4967688

2 6138, 4856
3069, 2428

∴ So the LCM of the given numbers is 2 x 3069 x 2428 = 14903064

Least Common Multiple of 6138,4856 with GCF Formula

Least Common Multiple of 6138,4856 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 6138,4856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6138,4856) = 2

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

GCF(6138,4856) x common factors =2 x 1 = 2

LCM(6138,4856) = ( 6138 × 4856 ) / 2

LCM(6138,4856) = 29806128 / 2

LCM(6138,4856) = 14903064


Lets's calculate GCF of 111,2145

3 111, 2145
37, 715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14903064/3

Therefore the LCM of Fractions 6138/111,4856/2145 is 4967688

Greatest Common Factor of 111,2145 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,2145 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 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145

Greatest Common Factor

We found the factors 111,2145 . The biggest common factor number is the GCF number.
So the greatest common factor 111,2145 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 6138/111, 4856/2145

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 6138/111, 4856/2145?

Answer: LCM of Numerators as per given numbers 6138/111, 4856/2145 is

LCM of Numerators i.e. for 6138,4856 is 14903064

GCF of denominators i.e. for 111,2145 is 3.

Thus, LCM of Fractions is 4967688.Finally, LCM of Fractions for 6138/111, 4856/2145 is 4967688.