Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9572/918, 5187/9855 quickly i.e. 49649964/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9572/918, 5187/9855 is 49649964/27.
LCM(9572/918, 5187/9855) = 49649964/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9572/918,5187/9855
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 9572,5187
Least Common Multiple of Numerators i.e. LCM of 9572,5187 is 49649964.
GCF of Denominators means GCF of 918,9855 as per the given fractions.
GCF of 918,9855 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9572,5187
Given numbers has no common factors except 1. So, there LCM is their product i.e 49649964
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 9572,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9572,5187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9572,5187) x common factors =1 x 1 = 1
LCM(9572,5187) = ( 9572 × 5187 ) / 1
LCM(9572,5187) = 49649964 / 1
LCM(9572,5187) = 49649964
Lets's calculate GCF of 918,9855
3 | 918, 9855 |
3 | 306, 3285 |
3 | 102, 1095 |
34, 365 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49649964/27
Therefore the LCM of Fractions 9572/918,5187/9855 is 49649964/27
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 9855
List of positive integer factors of 9855 that divides 9855 without a remainder.
1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Greatest Common Factor
We found the factors 918,9855 . The biggest common factor number is the GCF number.
So the greatest common factor 918,9855 is 27.
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 9572/918, 5187/9855?
Answer: LCM of Numerators as per given numbers 9572/918, 5187/9855 is
LCM of Numerators i.e. for 9572,5187 is 49649964
GCF of denominators i.e. for 918,9855 is 27.
Thus, LCM of Fractions is 49649964/27.Finally, LCM of Fractions for 9572/918, 5187/9855 is 49649964/27.