Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/172, 595/433, 695/233 quickly i.e. 248115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/172, 595/433, 695/233 is 248115.
LCM(15/172, 595/433, 695/233) = 248115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/172,595/433,695/233
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 15,595,695
Least Common Multiple of Numerators i.e. LCM of 15,595,695 is 248115.
GCF of Denominators means GCF of 172,433,233 as per the given fractions.
GCF of 172,433,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,595,695
5 | 15, 595, 695 |
3, 119, 139 |
∴ So the LCM of the given numbers is 5 x 3 x 119 x 139 = 248115
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 15,595,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,595,695) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(15,595,695) x common factors =5 x 5 = 25
LCM(15,595,695) = ( 15 × 595 × 695 ) / 25
LCM(15,595,695) = 6202875 / 25
LCM(15,595,695) = 248115
Lets's calculate GCF of 172,433,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248115/1
Therefore the LCM of Fractions 15/172,595/433,695/233 is 248115
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 172,433,233 . The biggest common factor number is the GCF number.
So the greatest common factor 172,433,233 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 15/172, 595/433, 695/233?
Answer: LCM of Numerators as per given numbers 15/172, 595/433, 695/233 is
LCM of Numerators i.e. for 15,595,695 is 248115
GCF of denominators i.e. for 172,433,233 is 1.
Thus, LCM of Fractions is 248115.Finally, LCM of Fractions for 15/172, 595/433, 695/233 is 248115.