Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/29, 54/18, 48/89, 80/194 quickly i.e. 92880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/29, 54/18, 48/89, 80/194 is 92880.
LCM(86/29, 54/18, 48/89, 80/194) = 92880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/29,54/18,48/89,80/194
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 86,54,48,80
Least Common Multiple of Numerators i.e. LCM of 86,54,48,80 is 92880.
GCF of Denominators means GCF of 29,18,89,194 as per the given fractions.
GCF of 29,18,89,194 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,54,48,80
2 | 86, 54, 48, 80 |
2 | 43, 27, 24, 40 |
2 | 43, 27, 12, 20 |
2 | 43, 27, 6, 10 |
3 | 43, 27, 3, 5 |
43, 9, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 43 x 9 x 1 x 5 = 92880
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 86,54,48,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,54,48,80) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(86,54,48,80) x common factors =2 x 96 = 192
LCM(86,54,48,80) = ( 86 × 54 × 48 × 80 ) / 192
LCM(86,54,48,80) = 17832960 / 192
LCM(86,54,48,80) = 92880
Lets's calculate GCF of 29,18,89,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92880/1
Therefore the LCM of Fractions 86/29,54/18,48/89,80/194 is 92880
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 29,18,89,194 . The biggest common factor number is the GCF number.
So the greatest common factor 29,18,89,194 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 86/29, 54/18, 48/89, 80/194?
Answer: LCM of Numerators as per given numbers 86/29, 54/18, 48/89, 80/194 is
LCM of Numerators i.e. for 86,54,48,80 is 92880
GCF of denominators i.e. for 29,18,89,194 is 1.
Thus, LCM of Fractions is 92880.Finally, LCM of Fractions for 86/29, 54/18, 48/89, 80/194 is 92880.