Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/25, 36/88, 47/31, 93/414 quickly i.e. 2255436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/25, 36/88, 47/31, 93/414 is 2255436.
LCM(86/25, 36/88, 47/31, 93/414) = 2255436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/25,36/88,47/31,93/414
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 86,36,47,93
Least Common Multiple of Numerators i.e. LCM of 86,36,47,93 is 2255436.
GCF of Denominators means GCF of 25,88,31,414 as per the given fractions.
GCF of 25,88,31,414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,36,47,93
2 | 86, 36, 47, 93 |
3 | 43, 18, 47, 93 |
43, 6, 47, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 6 x 47 x 31 = 2255436
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 86,36,47,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,36,47,93) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(86,36,47,93) x common factors =1 x 6 = 6
LCM(86,36,47,93) = ( 86 × 36 × 47 × 93 ) / 6
LCM(86,36,47,93) = 13532616 / 6
LCM(86,36,47,93) = 2255436
Lets's calculate GCF of 25,88,31,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2255436/1
Therefore the LCM of Fractions 86/25,36/88,47/31,93/414 is 2255436
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 25,88,31,414 . The biggest common factor number is the GCF number.
So the greatest common factor 25,88,31,414 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 86/25, 36/88, 47/31, 93/414?
Answer: LCM of Numerators as per given numbers 86/25, 36/88, 47/31, 93/414 is
LCM of Numerators i.e. for 86,36,47,93 is 2255436
GCF of denominators i.e. for 25,88,31,414 is 1.
Thus, LCM of Fractions is 2255436.Finally, LCM of Fractions for 86/25, 36/88, 47/31, 93/414 is 2255436.