Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 312/82, 335/72, 926/487 quickly i.e. 48392760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 312/82, 335/72, 926/487 is 48392760.
LCM(312/82, 335/72, 926/487) = 48392760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 312/82,335/72,926/487
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 312,335,926
Least Common Multiple of Numerators i.e. LCM of 312,335,926 is 48392760.
GCF of Denominators means GCF of 82,72,487 as per the given fractions.
GCF of 82,72,487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 312,335,926
2 | 312, 335, 926 |
156, 335, 463 |
∴ So the LCM of the given numbers is 2 x 156 x 335 x 463 = 48392760
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 312,335,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,335,926) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(312,335,926) x common factors =1 x 2 = 2
LCM(312,335,926) = ( 312 × 335 × 926 ) / 2
LCM(312,335,926) = 96785520 / 2
LCM(312,335,926) = 48392760
Lets's calculate GCF of 82,72,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48392760/1
Therefore the LCM of Fractions 312/82,335/72,926/487 is 48392760
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 82,72,487 . The biggest common factor number is the GCF number.
So the greatest common factor 82,72,487 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 312/82, 335/72, 926/487?
Answer: LCM of Numerators as per given numbers 312/82, 335/72, 926/487 is
LCM of Numerators i.e. for 312,335,926 is 48392760
GCF of denominators i.e. for 82,72,487 is 1.
Thus, LCM of Fractions is 48392760.Finally, LCM of Fractions for 312/82, 335/72, 926/487 is 48392760.