Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/128, 90/505, 252/319 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/128, 90/505, 252/319 is 13860.
LCM(99/128, 90/505, 252/319) = 13860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/128,90/505,252/319
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 99,90,252
Least Common Multiple of Numerators i.e. LCM of 99,90,252 is 13860.
GCF of Denominators means GCF of 128,505,319 as per the given fractions.
GCF of 128,505,319 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,90,252
2 | 99, 90, 252 |
3 | 99, 45, 126 |
3 | 33, 15, 42 |
11, 5, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 5 x 14 = 13860
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 99,90,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,90,252) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(99,90,252) x common factors =9 x 18 = 162
LCM(99,90,252) = ( 99 × 90 × 252 ) / 162
LCM(99,90,252) = 2245320 / 162
LCM(99,90,252) = 13860
Lets's calculate GCF of 128,505,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/1
Therefore the LCM of Fractions 99/128,90/505,252/319 is 13860
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 128,505,319 . The biggest common factor number is the GCF number.
So the greatest common factor 128,505,319 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 99/128, 90/505, 252/319?
Answer: LCM of Numerators as per given numbers 99/128, 90/505, 252/319 is
LCM of Numerators i.e. for 99,90,252 is 13860
GCF of denominators i.e. for 128,505,319 is 1.
Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 99/128, 90/505, 252/319 is 13860.