Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 517/952, 934/408 quickly i.e. 482878/136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 517/952, 934/408 is 482878/136.
LCM(517/952, 934/408) = 482878/136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 517/952,934/408
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 517,934
Least Common Multiple of Numerators i.e. LCM of 517,934 is 482878.
GCF of Denominators means GCF of 952,408 as per the given fractions.
GCF of 952,408 is 136 as it is the largest common factor for these numbers.
Lets's calculate LCM of 517,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 482878
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 517,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,934) x common factors =1 x 1 = 1
LCM(517,934) = ( 517 × 934 ) / 1
LCM(517,934) = 482878 / 1
LCM(517,934) = 482878
Lets's calculate GCF of 952,408
2 | 952, 408 |
2 | 476, 204 |
2 | 238, 102 |
17 | 119, 51 |
7, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 482878/136
Therefore the LCM of Fractions 517/952,934/408 is 482878/136
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 952,408 . The biggest common factor number is the GCF number.
So the greatest common factor 952,408 is 136.
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 517/952, 934/408?
Answer: LCM of Numerators as per given numbers 517/952, 934/408 is
LCM of Numerators i.e. for 517,934 is 482878
GCF of denominators i.e. for 952,408 is 136.
Thus, LCM of Fractions is 482878/136.Finally, LCM of Fractions for 517/952, 934/408 is 482878/136.