Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/879, 5402/2831 quickly i.e. 232286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/879, 5402/2831 is 232286.
LCM(86/879, 5402/2831) = 232286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/879,5402/2831
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 86,5402
Least Common Multiple of Numerators i.e. LCM of 86,5402 is 232286.
GCF of Denominators means GCF of 879,2831 as per the given fractions.
GCF of 879,2831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,5402
2 | 86, 5402 |
43, 2701 |
∴ So the LCM of the given numbers is 2 x 43 x 2701 = 232286
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 86,5402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,5402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,5402) x common factors =2 x 1 = 2
LCM(86,5402) = ( 86 × 5402 ) / 2
LCM(86,5402) = 464572 / 2
LCM(86,5402) = 232286
Lets's calculate GCF of 879,2831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232286/1
Therefore the LCM of Fractions 86/879,5402/2831 is 232286
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1,19,149,2831
Greatest Common Factor
We found the factors 879,2831 . The biggest common factor number is the GCF number.
So the greatest common factor 879,2831 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 86/879, 5402/2831?
Answer: LCM of Numerators as per given numbers 86/879, 5402/2831 is
LCM of Numerators i.e. for 86,5402 is 232286
GCF of denominators i.e. for 879,2831 is 1.
Thus, LCM of Fractions is 232286.Finally, LCM of Fractions for 86/879, 5402/2831 is 232286.