Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 254/25, 992/35, 483/51 quickly i.e. 60850272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 254/25, 992/35, 483/51 is 60850272.
LCM(254/25, 992/35, 483/51) = 60850272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 254/25,992/35,483/51
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 254,992,483
Least Common Multiple of Numerators i.e. LCM of 254,992,483 is 60850272.
GCF of Denominators means GCF of 25,35,51 as per the given fractions.
GCF of 25,35,51 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 254,992,483
2 | 254, 992, 483 |
127, 496, 483 |
∴ So the LCM of the given numbers is 2 x 127 x 496 x 483 = 60850272
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 254,992,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,992,483) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(254,992,483) x common factors =1 x 2 = 2
LCM(254,992,483) = ( 254 × 992 × 483 ) / 2
LCM(254,992,483) = 121700544 / 2
LCM(254,992,483) = 60850272
Lets's calculate GCF of 25,35,51
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60850272/1
Therefore the LCM of Fractions 254/25,992/35,483/51 is 60850272
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Greatest Common Factor
We found the factors 25,35,51 . The biggest common factor number is the GCF number.
So the greatest common factor 25,35,51 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 254/25, 992/35, 483/51?
Answer: LCM of Numerators as per given numbers 254/25, 992/35, 483/51 is
LCM of Numerators i.e. for 254,992,483 is 60850272
GCF of denominators i.e. for 25,35,51 is 1.
Thus, LCM of Fractions is 60850272.Finally, LCM of Fractions for 254/25, 992/35, 483/51 is 60850272.