Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 796/133, 366/190 quickly i.e. 145668/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 796/133, 366/190 is 145668/19.
LCM(796/133, 366/190) = 145668/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 796/133,366/190
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 796,366
Least Common Multiple of Numerators i.e. LCM of 796,366 is 145668.
GCF of Denominators means GCF of 133,190 as per the given fractions.
GCF of 133,190 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 796,366
2 | 796, 366 |
398, 183 |
∴ So the LCM of the given numbers is 2 x 398 x 183 = 145668
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 796,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,366) x common factors =2 x 1 = 2
LCM(796,366) = ( 796 × 366 ) / 2
LCM(796,366) = 291336 / 2
LCM(796,366) = 145668
Lets's calculate GCF of 133,190
19 | 133, 190 |
7, 10 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145668/19
Therefore the LCM of Fractions 796/133,366/190 is 145668/19
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 133,190 . The biggest common factor number is the GCF number.
So the greatest common factor 133,190 is 19.
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 796/133, 366/190?
Answer: LCM of Numerators as per given numbers 796/133, 366/190 is
LCM of Numerators i.e. for 796,366 is 145668
GCF of denominators i.e. for 133,190 is 19.
Thus, LCM of Fractions is 145668/19.Finally, LCM of Fractions for 796/133, 366/190 is 145668/19.