Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/425, 8522/5058 quickly i.e. 3954208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/425, 8522/5058 is 3954208.
LCM(928/425, 8522/5058) = 3954208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/425,8522/5058
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 928,8522
Least Common Multiple of Numerators i.e. LCM of 928,8522 is 3954208.
GCF of Denominators means GCF of 425,5058 as per the given fractions.
GCF of 425,5058 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,8522
2 | 928, 8522 |
464, 4261 |
∴ So the LCM of the given numbers is 2 x 464 x 4261 = 3954208
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 928,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,8522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(928,8522) x common factors =2 x 1 = 2
LCM(928,8522) = ( 928 × 8522 ) / 2
LCM(928,8522) = 7908416 / 2
LCM(928,8522) = 3954208
Lets's calculate GCF of 425,5058
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3954208/1
Therefore the LCM of Fractions 928/425,8522/5058 is 3954208
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 5058
List of positive integer factors of 5058 that divides 5058 without a remainder.
1,2,3,6,9,18,281,562,843,1686,2529,5058
Greatest Common Factor
We found the factors 425,5058 . The biggest common factor number is the GCF number.
So the greatest common factor 425,5058 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 928/425, 8522/5058?
Answer: LCM of Numerators as per given numbers 928/425, 8522/5058 is
LCM of Numerators i.e. for 928,8522 is 3954208
GCF of denominators i.e. for 425,5058 is 1.
Thus, LCM of Fractions is 3954208.Finally, LCM of Fractions for 928/425, 8522/5058 is 3954208.