Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/85, 22/68, 32/86, 24/231 quickly i.e. 3168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/85, 22/68, 32/86, 24/231 is 3168.
LCM(99/85, 22/68, 32/86, 24/231) = 3168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/85,22/68,32/86,24/231
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 99,22,32,24
Least Common Multiple of Numerators i.e. LCM of 99,22,32,24 is 3168.
GCF of Denominators means GCF of 85,68,86,231 as per the given fractions.
GCF of 85,68,86,231 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,22,32,24
2 | 99, 22, 32, 24 |
2 | 99, 11, 16, 12 |
2 | 99, 11, 8, 6 |
3 | 99, 11, 4, 3 |
11 | 33, 11, 4, 1 |
3, 1, 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 3 x 1 x 4 x 1 = 3168
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 99,22,32,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,22,32,24) = 1
common factors(in case of two or more numbers have common factors) = 528
GCF(99,22,32,24) x common factors =1 x 528 = 528
LCM(99,22,32,24) = ( 99 × 22 × 32 × 24 ) / 528
LCM(99,22,32,24) = 1672704 / 528
LCM(99,22,32,24) = 3168
Lets's calculate GCF of 85,68,86,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3168/1
Therefore the LCM of Fractions 99/85,22/68,32/86,24/231 is 3168
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 85,68,86,231 . The biggest common factor number is the GCF number.
So the greatest common factor 85,68,86,231 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 99/85, 22/68, 32/86, 24/231?
Answer: LCM of Numerators as per given numbers 99/85, 22/68, 32/86, 24/231 is
LCM of Numerators i.e. for 99,22,32,24 is 3168
GCF of denominators i.e. for 85,68,86,231 is 1.
Thus, LCM of Fractions is 3168.Finally, LCM of Fractions for 99/85, 22/68, 32/86, 24/231 is 3168.