Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 923/458, 1631/1226 quickly i.e. 1505413/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 923/458, 1631/1226 is 1505413/2.
LCM(923/458, 1631/1226) = 1505413/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 923/458,1631/1226
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 923,1631
Least Common Multiple of Numerators i.e. LCM of 923,1631 is 1505413.
GCF of Denominators means GCF of 458,1226 as per the given fractions.
GCF of 458,1226 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 923,1631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1505413
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 923,1631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,1631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,1631) x common factors =1 x 1 = 1
LCM(923,1631) = ( 923 × 1631 ) / 1
LCM(923,1631) = 1505413 / 1
LCM(923,1631) = 1505413
Lets's calculate GCF of 458,1226
2 | 458, 1226 |
229, 613 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1505413/2
Therefore the LCM of Fractions 923/458,1631/1226 is 1505413/2
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 1226
List of positive integer factors of 1226 that divides 1226 without a remainder.
1,2,613,1226
Greatest Common Factor
We found the factors 458,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 458,1226 is 2.
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 923/458, 1631/1226?
Answer: LCM of Numerators as per given numbers 923/458, 1631/1226 is
LCM of Numerators i.e. for 923,1631 is 1505413
GCF of denominators i.e. for 458,1226 is 2.
Thus, LCM of Fractions is 1505413/2.Finally, LCM of Fractions for 923/458, 1631/1226 is 1505413/2.