Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 849/933, 1275/197 quickly i.e. 360825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 849/933, 1275/197 is 360825.
LCM(849/933, 1275/197) = 360825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 849/933,1275/197
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 849,1275
Least Common Multiple of Numerators i.e. LCM of 849,1275 is 360825.
GCF of Denominators means GCF of 933,197 as per the given fractions.
GCF of 933,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 849,1275
3 | 849, 1275 |
283, 425 |
∴ So the LCM of the given numbers is 3 x 283 x 425 = 360825
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 849,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,1275) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,1275) x common factors =3 x 1 = 3
LCM(849,1275) = ( 849 × 1275 ) / 3
LCM(849,1275) = 1082475 / 3
LCM(849,1275) = 360825
Lets's calculate GCF of 933,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360825/1
Therefore the LCM of Fractions 849/933,1275/197 is 360825
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 933,197 . The biggest common factor number is the GCF number.
So the greatest common factor 933,197 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 849/933, 1275/197?
Answer: LCM of Numerators as per given numbers 849/933, 1275/197 is
LCM of Numerators i.e. for 849,1275 is 360825
GCF of denominators i.e. for 933,197 is 1.
Thus, LCM of Fractions is 360825.Finally, LCM of Fractions for 849/933, 1275/197 is 360825.