Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 193/50, 1450/335 quickly i.e. 55970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 193/50, 1450/335 is 55970.
LCM(193/50, 1450/335) = 55970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 193/50,1450/335
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 193,1450
Least Common Multiple of Numerators i.e. LCM of 193,1450 is 279850.
GCF of Denominators means GCF of 50,335 as per the given fractions.
GCF of 50,335 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 193,1450
Given numbers has no common factors except 1. So, there LCM is their product i.e 279850
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 193,1450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,1450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,1450) x common factors =1 x 1 = 1
LCM(193,1450) = ( 193 × 1450 ) / 1
LCM(193,1450) = 279850 / 1
LCM(193,1450) = 279850
Lets's calculate GCF of 50,335
5 | 50, 335 |
10, 67 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279850/5
Therefore the LCM of Fractions 193/50,1450/335 is 55970
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 50,335 . The biggest common factor number is the GCF number.
So the greatest common factor 50,335 is 5.
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 193/50, 1450/335?
Answer: LCM of Numerators as per given numbers 193/50, 1450/335 is
LCM of Numerators i.e. for 193,1450 is 279850
GCF of denominators i.e. for 50,335 is 5.
Thus, LCM of Fractions is 55970.Finally, LCM of Fractions for 193/50, 1450/335 is 55970.