Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/279, 8623/180 quickly i.e. 8045259/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/279, 8623/180 is 8045259/9.
LCM(933/279, 8623/180) = 8045259/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/279,8623/180
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 933,8623
Least Common Multiple of Numerators i.e. LCM of 933,8623 is 8045259.
GCF of Denominators means GCF of 279,180 as per the given fractions.
GCF of 279,180 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,8623
Given numbers has no common factors except 1. So, there LCM is their product i.e 8045259
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 933,8623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,8623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,8623) x common factors =1 x 1 = 1
LCM(933,8623) = ( 933 × 8623 ) / 1
LCM(933,8623) = 8045259 / 1
LCM(933,8623) = 8045259
Lets's calculate GCF of 279,180
3 | 279, 180 |
3 | 93, 60 |
31, 20 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8045259/9
Therefore the LCM of Fractions 933/279,8623/180 is 8045259/9
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 279,180 . The biggest common factor number is the GCF number.
So the greatest common factor 279,180 is 9.
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 933/279, 8623/180?
Answer: LCM of Numerators as per given numbers 933/279, 8623/180 is
LCM of Numerators i.e. for 933,8623 is 8045259
GCF of denominators i.e. for 279,180 is 9.
Thus, LCM of Fractions is 8045259/9.Finally, LCM of Fractions for 933/279, 8623/180 is 8045259/9.