Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5436/605, 4478/4146 quickly i.e. 12171204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5436/605, 4478/4146 is 12171204.
LCM(5436/605, 4478/4146) = 12171204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5436/605,4478/4146
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 5436,4478
Least Common Multiple of Numerators i.e. LCM of 5436,4478 is 12171204.
GCF of Denominators means GCF of 605,4146 as per the given fractions.
GCF of 605,4146 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5436,4478
2 | 5436, 4478 |
2718, 2239 |
∴ So the LCM of the given numbers is 2 x 2718 x 2239 = 12171204
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 5436,4478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5436,4478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5436,4478) x common factors =2 x 1 = 2
LCM(5436,4478) = ( 5436 × 4478 ) / 2
LCM(5436,4478) = 24342408 / 2
LCM(5436,4478) = 12171204
Lets's calculate GCF of 605,4146
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12171204/1
Therefore the LCM of Fractions 5436/605,4478/4146 is 12171204
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 4146
List of positive integer factors of 4146 that divides 4146 without a remainder.
1,2,3,6,691,1382,2073,4146
Greatest Common Factor
We found the factors 605,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 605,4146 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 5436/605, 4478/4146?
Answer: LCM of Numerators as per given numbers 5436/605, 4478/4146 is
LCM of Numerators i.e. for 5436,4478 is 12171204
GCF of denominators i.e. for 605,4146 is 1.
Thus, LCM of Fractions is 12171204.Finally, LCM of Fractions for 5436/605, 4478/4146 is 12171204.