Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4417/220, 1239/3793 quickly i.e. 781809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4417/220, 1239/3793 is 781809.
LCM(4417/220, 1239/3793) = 781809
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4417/220,1239/3793
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 4417,1239
Least Common Multiple of Numerators i.e. LCM of 4417,1239 is 781809.
GCF of Denominators means GCF of 220,3793 as per the given fractions.
GCF of 220,3793 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4417,1239
7 | 4417, 1239 |
631, 177 |
∴ So the LCM of the given numbers is 7 x 631 x 177 = 781809
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 4417,1239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4417,1239) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(4417,1239) x common factors =7 x 1 = 7
LCM(4417,1239) = ( 4417 × 1239 ) / 7
LCM(4417,1239) = 5472663 / 7
LCM(4417,1239) = 781809
Lets's calculate GCF of 220,3793
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781809/1
Therefore the LCM of Fractions 4417/220,1239/3793 is 781809
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 3793
List of positive integer factors of 3793 that divides 3793 without a remainder.
1,3793
Greatest Common Factor
We found the factors 220,3793 . The biggest common factor number is the GCF number.
So the greatest common factor 220,3793 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 4417/220, 1239/3793?
Answer: LCM of Numerators as per given numbers 4417/220, 1239/3793 is
LCM of Numerators i.e. for 4417,1239 is 781809
GCF of denominators i.e. for 220,3793 is 1.
Thus, LCM of Fractions is 781809.Finally, LCM of Fractions for 4417/220, 1239/3793 is 781809.