Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/50, 345/73, 888/87 quickly i.e. 102120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/50, 345/73, 888/87 is 102120.
LCM(5/50, 345/73, 888/87) = 102120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/50,345/73,888/87
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 5,345,888
Least Common Multiple of Numerators i.e. LCM of 5,345,888 is 102120.
GCF of Denominators means GCF of 50,73,87 as per the given fractions.
GCF of 50,73,87 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,345,888
3 | 5, 345, 888 |
5 | 5, 115, 296 |
1, 23, 296 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 23 x 296 = 102120
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 5,345,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,345,888) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(5,345,888) x common factors =1 x 15 = 15
LCM(5,345,888) = ( 5 × 345 × 888 ) / 15
LCM(5,345,888) = 1531800 / 15
LCM(5,345,888) = 102120
Lets's calculate GCF of 50,73,87
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102120/1
Therefore the LCM of Fractions 5/50,345/73,888/87 is 102120
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Greatest Common Factor
We found the factors 50,73,87 . The biggest common factor number is the GCF number.
So the greatest common factor 50,73,87 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 5/50, 345/73, 888/87?
Answer: LCM of Numerators as per given numbers 5/50, 345/73, 888/87 is
LCM of Numerators i.e. for 5,345,888 is 102120
GCF of denominators i.e. for 50,73,87 is 1.
Thus, LCM of Fractions is 102120.Finally, LCM of Fractions for 5/50, 345/73, 888/87 is 102120.