Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/44, 44/46, 193/340 quickly i.e. 55198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/44, 44/46, 193/340 is 55198.
LCM(52/44, 44/46, 193/340) = 55198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/44,44/46,193/340
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 52,44,193
Least Common Multiple of Numerators i.e. LCM of 52,44,193 is 110396.
GCF of Denominators means GCF of 44,46,340 as per the given fractions.
GCF of 44,46,340 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,44,193
2 | 52, 44, 193 |
2 | 26, 22, 193 |
13, 11, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 11 x 193 = 110396
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 52,44,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,44,193) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,44,193) x common factors =1 x 4 = 4
LCM(52,44,193) = ( 52 × 44 × 193 ) / 4
LCM(52,44,193) = 441584 / 4
LCM(52,44,193) = 110396
Lets's calculate GCF of 44,46,340
2 | 44, 46, 340 |
22, 23, 170 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110396/2
Therefore the LCM of Fractions 52/44,44/46,193/340 is 55198
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 44,46,340 . The biggest common factor number is the GCF number.
So the greatest common factor 44,46,340 is 2.
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 52/44, 44/46, 193/340?
Answer: LCM of Numerators as per given numbers 52/44, 44/46, 193/340 is
LCM of Numerators i.e. for 52,44,193 is 110396
GCF of denominators i.e. for 44,46,340 is 2.
Thus, LCM of Fractions is 55198.Finally, LCM of Fractions for 52/44, 44/46, 193/340 is 55198.