Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/538, 40/272, 105/875 quickly i.e. 27720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/538, 40/272, 105/875 is 27720.
LCM(99/538, 40/272, 105/875) = 27720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/538,40/272,105/875
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 99,40,105
Least Common Multiple of Numerators i.e. LCM of 99,40,105 is 27720.
GCF of Denominators means GCF of 538,272,875 as per the given fractions.
GCF of 538,272,875 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,40,105
3 | 99, 40, 105 |
5 | 33, 40, 35 |
33, 8, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 33 x 8 x 7 = 27720
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 99,40,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,40,105) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(99,40,105) x common factors =1 x 15 = 15
LCM(99,40,105) = ( 99 × 40 × 105 ) / 15
LCM(99,40,105) = 415800 / 15
LCM(99,40,105) = 27720
Lets's calculate GCF of 538,272,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27720/1
Therefore the LCM of Fractions 99/538,40/272,105/875 is 27720
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 538,272,875 . The biggest common factor number is the GCF number.
So the greatest common factor 538,272,875 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 99/538, 40/272, 105/875?
Answer: LCM of Numerators as per given numbers 99/538, 40/272, 105/875 is
LCM of Numerators i.e. for 99,40,105 is 27720
GCF of denominators i.e. for 538,272,875 is 1.
Thus, LCM of Fractions is 27720.Finally, LCM of Fractions for 99/538, 40/272, 105/875 is 27720.