Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/46, 55/91, 46/16 quickly i.e. 15180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/46, 55/91, 46/16 is 15180.
LCM(12/46, 55/91, 46/16) = 15180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/46,55/91,46/16
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 12,55,46
Least Common Multiple of Numerators i.e. LCM of 12,55,46 is 15180.
GCF of Denominators means GCF of 46,91,16 as per the given fractions.
GCF of 46,91,16 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,55,46
2 | 12, 55, 46 |
6, 55, 23 |
∴ So the LCM of the given numbers is 2 x 6 x 55 x 23 = 15180
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 12,55,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,55,46) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(12,55,46) x common factors =1 x 2 = 2
LCM(12,55,46) = ( 12 × 55 × 46 ) / 2
LCM(12,55,46) = 30360 / 2
LCM(12,55,46) = 15180
Lets's calculate GCF of 46,91,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15180/1
Therefore the LCM of Fractions 12/46,55/91,46/16 is 15180
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 46,91,16 . The biggest common factor number is the GCF number.
So the greatest common factor 46,91,16 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 12/46, 55/91, 46/16?
Answer: LCM of Numerators as per given numbers 12/46, 55/91, 46/16 is
LCM of Numerators i.e. for 12,55,46 is 15180
GCF of denominators i.e. for 46,91,16 is 1.
Thus, LCM of Fractions is 15180.Finally, LCM of Fractions for 12/46, 55/91, 46/16 is 15180.