Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3257/226, 4994/9290 quickly i.e. 8132729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3257/226, 4994/9290 is 8132729.
LCM(3257/226, 4994/9290) = 8132729
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3257/226,4994/9290
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 3257,4994
Least Common Multiple of Numerators i.e. LCM of 3257,4994 is 16265458.
GCF of Denominators means GCF of 226,9290 as per the given fractions.
GCF of 226,9290 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3257,4994
Given numbers has no common factors except 1. So, there LCM is their product i.e 16265458
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 3257,4994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3257,4994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3257,4994) x common factors =1 x 1 = 1
LCM(3257,4994) = ( 3257 × 4994 ) / 1
LCM(3257,4994) = 16265458 / 1
LCM(3257,4994) = 16265458
Lets's calculate GCF of 226,9290
2 | 226, 9290 |
113, 4645 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16265458/2
Therefore the LCM of Fractions 3257/226,4994/9290 is 8132729
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 9290
List of positive integer factors of 9290 that divides 9290 without a remainder.
1,2,5,10,929,1858,4645,9290
Greatest Common Factor
We found the factors 226,9290 . The biggest common factor number is the GCF number.
So the greatest common factor 226,9290 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 3257/226, 4994/9290?
Answer: LCM of Numerators as per given numbers 3257/226, 4994/9290 is
LCM of Numerators i.e. for 3257,4994 is 16265458
GCF of denominators i.e. for 226,9290 is 2.
Thus, LCM of Fractions is 8132729.Finally, LCM of Fractions for 3257/226, 4994/9290 is 8132729.