Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 888/58, 555/2131 quickly i.e. 4440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 888/58, 555/2131 is 4440.
LCM(888/58, 555/2131) = 4440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 888/58,555/2131
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 888,555
Least Common Multiple of Numerators i.e. LCM of 888,555 is 4440.
GCF of Denominators means GCF of 58,2131 as per the given fractions.
GCF of 58,2131 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 888,555
3 | 888, 555 |
37 | 296, 185 |
8, 5 |
∴ So the LCM of the given numbers is 3 x 37 x 8 x 5 = 4440
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 888,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,555) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(888,555) x common factors =111 x 1 = 111
LCM(888,555) = ( 888 × 555 ) / 111
LCM(888,555) = 492840 / 111
LCM(888,555) = 4440
Lets's calculate GCF of 58,2131
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4440/1
Therefore the LCM of Fractions 888/58,555/2131 is 4440
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 2131
List of positive integer factors of 2131 that divides 2131 without a remainder.
1,2131
Greatest Common Factor
We found the factors 58,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 58,2131 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 888/58, 555/2131?
Answer: LCM of Numerators as per given numbers 888/58, 555/2131 is
LCM of Numerators i.e. for 888,555 is 4440
GCF of denominators i.e. for 58,2131 is 1.
Thus, LCM of Fractions is 4440.Finally, LCM of Fractions for 888/58, 555/2131 is 4440.