Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/792, 219/517, 941/159 quickly i.e. 2266869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/792, 219/517, 941/159 is 2266869.
LCM(11/792, 219/517, 941/159) = 2266869
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/792,219/517,941/159
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 11,219,941
Least Common Multiple of Numerators i.e. LCM of 11,219,941 is 2266869.
GCF of Denominators means GCF of 792,517,159 as per the given fractions.
GCF of 792,517,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,219,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 2266869
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 11,219,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,219,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,219,941) x common factors =1 x 1 = 1
LCM(11,219,941) = ( 11 × 219 × 941 ) / 1
LCM(11,219,941) = 2266869 / 1
LCM(11,219,941) = 2266869
Lets's calculate GCF of 792,517,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2266869/1
Therefore the LCM of Fractions 11/792,219/517,941/159 is 2266869
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 792,517,159 . The biggest common factor number is the GCF number.
So the greatest common factor 792,517,159 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 11/792, 219/517, 941/159?
Answer: LCM of Numerators as per given numbers 11/792, 219/517, 941/159 is
LCM of Numerators i.e. for 11,219,941 is 2266869
GCF of denominators i.e. for 792,517,159 is 1.
Thus, LCM of Fractions is 2266869.Finally, LCM of Fractions for 11/792, 219/517, 941/159 is 2266869.