Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/45, 89/96, 93/18 quickly i.e. 2759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/45, 89/96, 93/18 is 2759.
LCM(31/45, 89/96, 93/18) = 2759
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/45,89/96,93/18
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 31,89,93
Least Common Multiple of Numerators i.e. LCM of 31,89,93 is 8277.
GCF of Denominators means GCF of 45,96,18 as per the given fractions.
GCF of 45,96,18 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,89,93
31 | 31, 89, 93 |
1, 89, 3 |
∴ So the LCM of the given numbers is 31 x 1 x 89 x 3 = 8277
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 31,89,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,89,93) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(31,89,93) x common factors =1 x 31 = 31
LCM(31,89,93) = ( 31 × 89 × 93 ) / 31
LCM(31,89,93) = 256587 / 31
LCM(31,89,93) = 8277
Lets's calculate GCF of 45,96,18
3 | 45, 96, 18 |
15, 32, 6 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8277/3
Therefore the LCM of Fractions 31/45,89/96,93/18 is 2759
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Greatest Common Factor
We found the factors 45,96,18 . The biggest common factor number is the GCF number.
So the greatest common factor 45,96,18 is 3.
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 31/45, 89/96, 93/18?
Answer: LCM of Numerators as per given numbers 31/45, 89/96, 93/18 is
LCM of Numerators i.e. for 31,89,93 is 8277
GCF of denominators i.e. for 45,96,18 is 3.
Thus, LCM of Fractions is 2759.Finally, LCM of Fractions for 31/45, 89/96, 93/18 is 2759.