Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/555, 113/635, 452/590 quickly i.e. 28476/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/555, 113/635, 452/590 is 28476/5.
LCM(63/555, 113/635, 452/590) = 28476/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/555,113/635,452/590
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 63,113,452
Least Common Multiple of Numerators i.e. LCM of 63,113,452 is 28476.
GCF of Denominators means GCF of 555,635,590 as per the given fractions.
GCF of 555,635,590 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,113,452
113 | 63, 113, 452 |
63, 1, 4 |
∴ So the LCM of the given numbers is 113 x 63 x 1 x 4 = 28476
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 63,113,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,113,452) = 1
common factors(in case of two or more numbers have common factors) = 113
GCF(63,113,452) x common factors =1 x 113 = 113
LCM(63,113,452) = ( 63 × 113 × 452 ) / 113
LCM(63,113,452) = 3217788 / 113
LCM(63,113,452) = 28476
Lets's calculate GCF of 555,635,590
5 | 555, 635, 590 |
111, 127, 118 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28476/5
Therefore the LCM of Fractions 63/555,113/635,452/590 is 28476/5
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 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 555,635,590 . The biggest common factor number is the GCF number.
So the greatest common factor 555,635,590 is 5.
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 63/555, 113/635, 452/590?
Answer: LCM of Numerators as per given numbers 63/555, 113/635, 452/590 is
LCM of Numerators i.e. for 63,113,452 is 28476
GCF of denominators i.e. for 555,635,590 is 5.
Thus, LCM of Fractions is 28476/5.Finally, LCM of Fractions for 63/555, 113/635, 452/590 is 28476/5.