Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3942/555, 2452/600 quickly i.e. 4832892/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3942/555, 2452/600 is 4832892/15.
LCM(3942/555, 2452/600) = 4832892/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3942/555,2452/600
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 3942,2452
Least Common Multiple of Numerators i.e. LCM of 3942,2452 is 4832892.
GCF of Denominators means GCF of 555,600 as per the given fractions.
GCF of 555,600 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3942,2452
2 | 3942, 2452 |
1971, 1226 |
∴ So the LCM of the given numbers is 2 x 1971 x 1226 = 4832892
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 3942,2452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3942,2452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3942,2452) x common factors =2 x 1 = 2
LCM(3942,2452) = ( 3942 × 2452 ) / 2
LCM(3942,2452) = 9665784 / 2
LCM(3942,2452) = 4832892
Lets's calculate GCF of 555,600
3 | 555, 600 |
5 | 185, 200 |
37, 40 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4832892/15
Therefore the LCM of Fractions 3942/555,2452/600 is 4832892/15
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 555,600 . The biggest common factor number is the GCF number.
So the greatest common factor 555,600 is 15.
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 3942/555, 2452/600?
Answer: LCM of Numerators as per given numbers 3942/555, 2452/600 is
LCM of Numerators i.e. for 3942,2452 is 4832892
GCF of denominators i.e. for 555,600 is 15.
Thus, LCM of Fractions is 4832892/15.Finally, LCM of Fractions for 3942/555, 2452/600 is 4832892/15.