Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/20, 8/85, 8/95, 18/808 quickly i.e. 360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/20, 8/85, 8/95, 18/808 is 360.
LCM(5/20, 8/85, 8/95, 18/808) = 360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/20,8/85,8/95,18/808
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 5,8,8,18
Least Common Multiple of Numerators i.e. LCM of 5,8,8,18 is 360.
GCF of Denominators means GCF of 20,85,95,808 as per the given fractions.
GCF of 20,85,95,808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,8,8,18
2 | 5, 8, 8, 18 |
2 | 5, 4, 4, 9 |
2 | 5, 2, 2, 9 |
5, 1, 1, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 9 = 360
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 5,8,8,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,8,8,18) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(5,8,8,18) x common factors =1 x 16 = 16
LCM(5,8,8,18) = ( 5 × 8 × 8 × 18 ) / 16
LCM(5,8,8,18) = 5760 / 16
LCM(5,8,8,18) = 360
Lets's calculate GCF of 20,85,95,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360/1
Therefore the LCM of Fractions 5/20,8/85,8/95,18/808 is 360
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 20,85,95,808 . The biggest common factor number is the GCF number.
So the greatest common factor 20,85,95,808 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 5/20, 8/85, 8/95, 18/808?
Answer: LCM of Numerators as per given numbers 5/20, 8/85, 8/95, 18/808 is
LCM of Numerators i.e. for 5,8,8,18 is 360
GCF of denominators i.e. for 20,85,95,808 is 1.
Thus, LCM of Fractions is 360.Finally, LCM of Fractions for 5/20, 8/85, 8/95, 18/808 is 360.