Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 255/499, 9030/2252 quickly i.e. 153510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 255/499, 9030/2252 is 153510.
LCM(255/499, 9030/2252) = 153510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 255/499,9030/2252
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 255,9030
Least Common Multiple of Numerators i.e. LCM of 255,9030 is 153510.
GCF of Denominators means GCF of 499,2252 as per the given fractions.
GCF of 499,2252 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 255,9030
3 | 255, 9030 |
5 | 85, 3010 |
17, 602 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 602 = 153510
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 255,9030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,9030) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(255,9030) x common factors =15 x 1 = 15
LCM(255,9030) = ( 255 × 9030 ) / 15
LCM(255,9030) = 2302650 / 15
LCM(255,9030) = 153510
Lets's calculate GCF of 499,2252
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153510/1
Therefore the LCM of Fractions 255/499,9030/2252 is 153510
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 2252
List of positive integer factors of 2252 that divides 2252 without a remainder.
1,2,4,563,1126,2252
Greatest Common Factor
We found the factors 499,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 499,2252 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 255/499, 9030/2252?
Answer: LCM of Numerators as per given numbers 255/499, 9030/2252 is
LCM of Numerators i.e. for 255,9030 is 153510
GCF of denominators i.e. for 499,2252 is 1.
Thus, LCM of Fractions is 153510.Finally, LCM of Fractions for 255/499, 9030/2252 is 153510.