Least Common Multiple of 5269/444, 7230/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5269/444, 7230/804 quickly i.e. 38094870/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5269/444, 7230/804 is 38094870/12.

LCM(5269/444, 7230/804) = 38094870/12

LCM of 5269/444, 7230/804

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 5269/444,7230/804

Given numbers are 5269/444,7230/804

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 5269,7230

Least Common Multiple of Numerators i.e. LCM of 5269,7230 is 38094870.

GCF of Denominators means GCF of 444,804 as per the given fractions.

GCF of 444,804 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5269,7230

LCM of Fractions 5269/444,7230/804 is 38094870/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 38094870

Least Common Multiple of 5269,7230 with GCF Formula

Least Common Multiple of 5269,7230 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 5269,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5269,7230) = 1

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

GCF(5269,7230) x common factors =1 x 1 = 1

LCM(5269,7230) = ( 5269 × 7230 ) / 1

LCM(5269,7230) = 38094870 / 1

LCM(5269,7230) = 38094870


Lets's calculate GCF of 444,804

2 444, 804
2 222, 402
3 111, 201
37, 67

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38094870/12

Therefore the LCM of Fractions 5269/444,7230/804 is 38094870/12

Greatest Common Factor of 444,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,804 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 444,804 . The biggest common factor number is the GCF number.
So the greatest common factor 444,804 is 12.


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 5269/444, 7230/804

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 5269/444, 7230/804?

Answer: LCM of Numerators as per given numbers 5269/444, 7230/804 is

LCM of Numerators i.e. for 5269,7230 is 38094870

GCF of denominators i.e. for 444,804 is 12.

Thus, LCM of Fractions is 38094870/12.Finally, LCM of Fractions for 5269/444, 7230/804 is 38094870/12.