Least Common Multiple of 4119/12, 5213/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4119/12, 5213/225 quickly i.e. 7157449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4119/12, 5213/225 is 7157449.

LCM(4119/12, 5213/225) = 7157449

LCM of 4119/12, 5213/225

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 4119/12,5213/225

Given numbers are 4119/12,5213/225

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 4119,5213

Least Common Multiple of Numerators i.e. LCM of 4119,5213 is 21472347.

GCF of Denominators means GCF of 12,225 as per the given fractions.

GCF of 12,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4119,5213

LCM of Fractions 4119/12,5213/225 is 7157449

Given numbers has no common factors except 1. So, there LCM is their product i.e 21472347

Least Common Multiple of 4119,5213 with GCF Formula

Least Common Multiple of 4119,5213 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 4119,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4119,5213) = 1

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

GCF(4119,5213) x common factors =1 x 1 = 1

LCM(4119,5213) = ( 4119 × 5213 ) / 1

LCM(4119,5213) = 21472347 / 1

LCM(4119,5213) = 21472347


Lets's calculate GCF of 12,225

3 12, 225
4, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21472347/3

Therefore the LCM of Fractions 4119/12,5213/225 is 7157449

Greatest Common Factor of 12,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,225 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 12,225 . The biggest common factor number is the GCF number.
So the greatest common factor 12,225 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 4119/12, 5213/225

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 4119/12, 5213/225?

Answer: LCM of Numerators as per given numbers 4119/12, 5213/225 is

LCM of Numerators i.e. for 4119,5213 is 21472347

GCF of denominators i.e. for 12,225 is 3.

Thus, LCM of Fractions is 7157449.Finally, LCM of Fractions for 4119/12, 5213/225 is 7157449.