Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 795/849, 9390/1401 quickly i.e. 165890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 795/849, 9390/1401 is 165890.
LCM(795/849, 9390/1401) = 165890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 795/849,9390/1401
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 795,9390
Least Common Multiple of Numerators i.e. LCM of 795,9390 is 497670.
GCF of Denominators means GCF of 849,1401 as per the given fractions.
GCF of 849,1401 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 795,9390
3 | 795, 9390 |
5 | 265, 3130 |
53, 626 |
∴ So the LCM of the given numbers is 3 x 5 x 53 x 626 = 497670
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 795,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,9390) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(795,9390) x common factors =15 x 1 = 15
LCM(795,9390) = ( 795 × 9390 ) / 15
LCM(795,9390) = 7465050 / 15
LCM(795,9390) = 497670
Lets's calculate GCF of 849,1401
3 | 849, 1401 |
283, 467 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497670/3
Therefore the LCM of Fractions 795/849,9390/1401 is 165890
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 1401
List of positive integer factors of 1401 that divides 1401 without a remainder.
1,3,467,1401
Greatest Common Factor
We found the factors 849,1401 . The biggest common factor number is the GCF number.
So the greatest common factor 849,1401 is 3.
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 795/849, 9390/1401?
Answer: LCM of Numerators as per given numbers 795/849, 9390/1401 is
LCM of Numerators i.e. for 795,9390 is 497670
GCF of denominators i.e. for 849,1401 is 3.
Thus, LCM of Fractions is 165890.Finally, LCM of Fractions for 795/849, 9390/1401 is 165890.