Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8733/975, 1081/390 quickly i.e. 9440373/195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8733/975, 1081/390 is 9440373/195.
LCM(8733/975, 1081/390) = 9440373/195
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8733/975,1081/390
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 8733,1081
Least Common Multiple of Numerators i.e. LCM of 8733,1081 is 9440373.
GCF of Denominators means GCF of 975,390 as per the given fractions.
GCF of 975,390 is 195 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8733,1081
Given numbers has no common factors except 1. So, there LCM is their product i.e 9440373
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 8733,1081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8733,1081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8733,1081) x common factors =1 x 1 = 1
LCM(8733,1081) = ( 8733 × 1081 ) / 1
LCM(8733,1081) = 9440373 / 1
LCM(8733,1081) = 9440373
Lets's calculate GCF of 975,390
3 | 975, 390 |
5 | 325, 130 |
13 | 65, 26 |
5, 2 |
∴ So the GCF of the given numbers is 3 x 5 x 13 = 195
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9440373/195
Therefore the LCM of Fractions 8733/975,1081/390 is 9440373/195
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 975,390 . The biggest common factor number is the GCF number.
So the greatest common factor 975,390 is 195.
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 8733/975, 1081/390?
Answer: LCM of Numerators as per given numbers 8733/975, 1081/390 is
LCM of Numerators i.e. for 8733,1081 is 9440373
GCF of denominators i.e. for 975,390 is 195.
Thus, LCM of Fractions is 9440373/195.Finally, LCM of Fractions for 8733/975, 1081/390 is 9440373/195.