Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9755/33, 8451/300 quickly i.e. 27479835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9755/33, 8451/300 is 27479835.
LCM(9755/33, 8451/300) = 27479835
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9755/33,8451/300
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 9755,8451
Least Common Multiple of Numerators i.e. LCM of 9755,8451 is 82439505.
GCF of Denominators means GCF of 33,300 as per the given fractions.
GCF of 33,300 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9755,8451
Given numbers has no common factors except 1. So, there LCM is their product i.e 82439505
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 9755,8451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9755,8451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9755,8451) x common factors =1 x 1 = 1
LCM(9755,8451) = ( 9755 × 8451 ) / 1
LCM(9755,8451) = 82439505 / 1
LCM(9755,8451) = 82439505
Lets's calculate GCF of 33,300
3 | 33, 300 |
11, 100 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82439505/3
Therefore the LCM of Fractions 9755/33,8451/300 is 27479835
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 33,300 . The biggest common factor number is the GCF number.
So the greatest common factor 33,300 is 3.
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 9755/33, 8451/300?
Answer: LCM of Numerators as per given numbers 9755/33, 8451/300 is
LCM of Numerators i.e. for 9755,8451 is 82439505
GCF of denominators i.e. for 33,300 is 3.
Thus, LCM of Fractions is 27479835.Finally, LCM of Fractions for 9755/33, 8451/300 is 27479835.