Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/200, 5784/9541 quickly i.e. 28920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/200, 5784/9541 is 28920.
LCM(60/200, 5784/9541) = 28920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/200,5784/9541
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 60,5784
Least Common Multiple of Numerators i.e. LCM of 60,5784 is 28920.
GCF of Denominators means GCF of 200,9541 as per the given fractions.
GCF of 200,9541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,5784
2 | 60, 5784 |
2 | 30, 2892 |
3 | 15, 1446 |
5, 482 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 482 = 28920
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 60,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,5784) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(60,5784) x common factors =12 x 1 = 12
LCM(60,5784) = ( 60 × 5784 ) / 12
LCM(60,5784) = 347040 / 12
LCM(60,5784) = 28920
Lets's calculate GCF of 200,9541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28920/1
Therefore the LCM of Fractions 60/200,5784/9541 is 28920
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 9541
List of positive integer factors of 9541 that divides 9541 without a remainder.
1,7,29,47,203,329,1363,9541
Greatest Common Factor
We found the factors 200,9541 . The biggest common factor number is the GCF number.
So the greatest common factor 200,9541 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 60/200, 5784/9541?
Answer: LCM of Numerators as per given numbers 60/200, 5784/9541 is
LCM of Numerators i.e. for 60,5784 is 28920
GCF of denominators i.e. for 200,9541 is 1.
Thus, LCM of Fractions is 28920.Finally, LCM of Fractions for 60/200, 5784/9541 is 28920.