Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/458, 8274/5038 quickly i.e. 455070/458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/458, 8274/5038 is 455070/458.
LCM(55/458, 8274/5038) = 455070/458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/458,8274/5038
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 55,8274
Least Common Multiple of Numerators i.e. LCM of 55,8274 is 455070.
GCF of Denominators means GCF of 458,5038 as per the given fractions.
GCF of 458,5038 is 458 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,8274
Given numbers has no common factors except 1. So, there LCM is their product i.e 455070
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 55,8274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,8274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,8274) x common factors =1 x 1 = 1
LCM(55,8274) = ( 55 × 8274 ) / 1
LCM(55,8274) = 455070 / 1
LCM(55,8274) = 455070
Lets's calculate GCF of 458,5038
2 | 458, 5038 |
229 | 229, 2519 |
1, 11 |
∴ So the GCF of the given numbers is 2 x 229 = 458
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455070/458
Therefore the LCM of Fractions 55/458,8274/5038 is 455070/458
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 5038
List of positive integer factors of 5038 that divides 5038 without a remainder.
1,2,11,22,229,458,2519,5038
Greatest Common Factor
We found the factors 458,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 458,5038 is 458.
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 55/458, 8274/5038?
Answer: LCM of Numerators as per given numbers 55/458, 8274/5038 is
LCM of Numerators i.e. for 55,8274 is 455070
GCF of denominators i.e. for 458,5038 is 458.
Thus, LCM of Fractions is 455070/458.Finally, LCM of Fractions for 55/458, 8274/5038 is 455070/458.