Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 954/233, 6016/458 quickly i.e. 2869632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 954/233, 6016/458 is 2869632.
LCM(954/233, 6016/458) = 2869632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 954/233,6016/458
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 954,6016
Least Common Multiple of Numerators i.e. LCM of 954,6016 is 2869632.
GCF of Denominators means GCF of 233,458 as per the given fractions.
GCF of 233,458 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 954,6016
2 | 954, 6016 |
477, 3008 |
∴ So the LCM of the given numbers is 2 x 477 x 3008 = 2869632
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 954,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,6016) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,6016) x common factors =2 x 1 = 2
LCM(954,6016) = ( 954 × 6016 ) / 2
LCM(954,6016) = 5739264 / 2
LCM(954,6016) = 2869632
Lets's calculate GCF of 233,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2869632/1
Therefore the LCM of Fractions 954/233,6016/458 is 2869632
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 233,458 . The biggest common factor number is the GCF number.
So the greatest common factor 233,458 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 954/233, 6016/458?
Answer: LCM of Numerators as per given numbers 954/233, 6016/458 is
LCM of Numerators i.e. for 954,6016 is 2869632
GCF of denominators i.e. for 233,458 is 1.
Thus, LCM of Fractions is 2869632.Finally, LCM of Fractions for 954/233, 6016/458 is 2869632.