Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 829/33, 194/3025 quickly i.e. 160826/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 829/33, 194/3025 is 160826/11.
LCM(829/33, 194/3025) = 160826/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 829/33,194/3025
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 829,194
Least Common Multiple of Numerators i.e. LCM of 829,194 is 160826.
GCF of Denominators means GCF of 33,3025 as per the given fractions.
GCF of 33,3025 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 829,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 160826
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 829,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,194) x common factors =1 x 1 = 1
LCM(829,194) = ( 829 × 194 ) / 1
LCM(829,194) = 160826 / 1
LCM(829,194) = 160826
Lets's calculate GCF of 33,3025
11 | 33, 3025 |
3, 275 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160826/11
Therefore the LCM of Fractions 829/33,194/3025 is 160826/11
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 3025
List of positive integer factors of 3025 that divides 3025 without a remainder.
1,5,11,25,55,121,275,605,3025
Greatest Common Factor
We found the factors 33,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 33,3025 is 11.
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 829/33, 194/3025?
Answer: LCM of Numerators as per given numbers 829/33, 194/3025 is
LCM of Numerators i.e. for 829,194 is 160826
GCF of denominators i.e. for 33,3025 is 11.
Thus, LCM of Fractions is 160826/11.Finally, LCM of Fractions for 829/33, 194/3025 is 160826/11.