Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 203/503, 270/406, 917/171 quickly i.e. 7180110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 203/503, 270/406, 917/171 is 7180110.
LCM(203/503, 270/406, 917/171) = 7180110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 203/503,270/406,917/171
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 203,270,917
Least Common Multiple of Numerators i.e. LCM of 203,270,917 is 7180110.
GCF of Denominators means GCF of 503,406,171 as per the given fractions.
GCF of 503,406,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 203,270,917
7 | 203, 270, 917 |
29, 270, 131 |
∴ So the LCM of the given numbers is 7 x 29 x 270 x 131 = 7180110
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 203,270,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,270,917) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(203,270,917) x common factors =1 x 7 = 7
LCM(203,270,917) = ( 203 × 270 × 917 ) / 7
LCM(203,270,917) = 50260770 / 7
LCM(203,270,917) = 7180110
Lets's calculate GCF of 503,406,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7180110/1
Therefore the LCM of Fractions 203/503,270/406,917/171 is 7180110
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 503,406,171 . The biggest common factor number is the GCF number.
So the greatest common factor 503,406,171 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 203/503, 270/406, 917/171?
Answer: LCM of Numerators as per given numbers 203/503, 270/406, 917/171 is
LCM of Numerators i.e. for 203,270,917 is 7180110
GCF of denominators i.e. for 503,406,171 is 1.
Thus, LCM of Fractions is 7180110.Finally, LCM of Fractions for 203/503, 270/406, 917/171 is 7180110.