Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 187/433, 417/690, 227/926 quickly i.e. 17701233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 187/433, 417/690, 227/926 is 17701233.
LCM(187/433, 417/690, 227/926) = 17701233
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 187/433,417/690,227/926
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 187,417,227
Least Common Multiple of Numerators i.e. LCM of 187,417,227 is 17701233.
GCF of Denominators means GCF of 433,690,926 as per the given fractions.
GCF of 433,690,926 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 187,417,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 17701233
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 187,417,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,417,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,417,227) x common factors =1 x 1 = 1
LCM(187,417,227) = ( 187 × 417 × 227 ) / 1
LCM(187,417,227) = 17701233 / 1
LCM(187,417,227) = 17701233
Lets's calculate GCF of 433,690,926
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17701233/1
Therefore the LCM of Fractions 187/433,417/690,227/926 is 17701233
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 433,690,926 . The biggest common factor number is the GCF number.
So the greatest common factor 433,690,926 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 187/433, 417/690, 227/926?
Answer: LCM of Numerators as per given numbers 187/433, 417/690, 227/926 is
LCM of Numerators i.e. for 187,417,227 is 17701233
GCF of denominators i.e. for 433,690,926 is 1.
Thus, LCM of Fractions is 17701233.Finally, LCM of Fractions for 187/433, 417/690, 227/926 is 17701233.