Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/125, 63/913, 959/365 quickly i.e. 17262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/125, 63/913, 959/365 is 17262.
LCM(18/125, 63/913, 959/365) = 17262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/125,63/913,959/365
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 18,63,959
Least Common Multiple of Numerators i.e. LCM of 18,63,959 is 17262.
GCF of Denominators means GCF of 125,913,365 as per the given fractions.
GCF of 125,913,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,63,959
3 | 18, 63, 959 |
3 | 6, 21, 959 |
7 | 2, 7, 959 |
2, 1, 137 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 2 x 1 x 137 = 17262
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 18,63,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,63,959) = 1
common factors(in case of two or more numbers have common factors) = 63
GCF(18,63,959) x common factors =1 x 63 = 63
LCM(18,63,959) = ( 18 × 63 × 959 ) / 63
LCM(18,63,959) = 1087506 / 63
LCM(18,63,959) = 17262
Lets's calculate GCF of 125,913,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17262/1
Therefore the LCM of Fractions 18/125,63/913,959/365 is 17262
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 125,913,365 . The biggest common factor number is the GCF number.
So the greatest common factor 125,913,365 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 18/125, 63/913, 959/365?
Answer: LCM of Numerators as per given numbers 18/125, 63/913, 959/365 is
LCM of Numerators i.e. for 18,63,959 is 17262
GCF of denominators i.e. for 125,913,365 is 1.
Thus, LCM of Fractions is 17262.Finally, LCM of Fractions for 18/125, 63/913, 959/365 is 17262.