Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/948, 933/20, 267/857 quickly i.e. 5397405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/948, 933/20, 267/857 is 5397405.
LCM(65/948, 933/20, 267/857) = 5397405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/948,933/20,267/857
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 65,933,267
Least Common Multiple of Numerators i.e. LCM of 65,933,267 is 5397405.
GCF of Denominators means GCF of 948,20,857 as per the given fractions.
GCF of 948,20,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,933,267
3 | 65, 933, 267 |
65, 311, 89 |
∴ So the LCM of the given numbers is 3 x 65 x 311 x 89 = 5397405
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 65,933,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,933,267) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(65,933,267) x common factors =1 x 3 = 3
LCM(65,933,267) = ( 65 × 933 × 267 ) / 3
LCM(65,933,267) = 16192215 / 3
LCM(65,933,267) = 5397405
Lets's calculate GCF of 948,20,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5397405/1
Therefore the LCM of Fractions 65/948,933/20,267/857 is 5397405
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 948,20,857 . The biggest common factor number is the GCF number.
So the greatest common factor 948,20,857 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 65/948, 933/20, 267/857?
Answer: LCM of Numerators as per given numbers 65/948, 933/20, 267/857 is
LCM of Numerators i.e. for 65,933,267 is 5397405
GCF of denominators i.e. for 948,20,857 is 1.
Thus, LCM of Fractions is 5397405.Finally, LCM of Fractions for 65/948, 933/20, 267/857 is 5397405.