Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 458/904, 4292/173 quickly i.e. 982868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 458/904, 4292/173 is 982868.
LCM(458/904, 4292/173) = 982868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 458/904,4292/173
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 458,4292
Least Common Multiple of Numerators i.e. LCM of 458,4292 is 982868.
GCF of Denominators means GCF of 904,173 as per the given fractions.
GCF of 904,173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 458,4292
2 | 458, 4292 |
229, 2146 |
∴ So the LCM of the given numbers is 2 x 229 x 2146 = 982868
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 458,4292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,4292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,4292) x common factors =2 x 1 = 2
LCM(458,4292) = ( 458 × 4292 ) / 2
LCM(458,4292) = 1965736 / 2
LCM(458,4292) = 982868
Lets's calculate GCF of 904,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 982868/1
Therefore the LCM of Fractions 458/904,4292/173 is 982868
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 904,173 . The biggest common factor number is the GCF number.
So the greatest common factor 904,173 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 458/904, 4292/173?
Answer: LCM of Numerators as per given numbers 458/904, 4292/173 is
LCM of Numerators i.e. for 458,4292 is 982868
GCF of denominators i.e. for 904,173 is 1.
Thus, LCM of Fractions is 982868.Finally, LCM of Fractions for 458/904, 4292/173 is 982868.