Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9285/555, 8945/981 quickly i.e. 5536955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9285/555, 8945/981 is 5536955.
LCM(9285/555, 8945/981) = 5536955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9285/555,8945/981
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 9285,8945
Least Common Multiple of Numerators i.e. LCM of 9285,8945 is 16610865.
GCF of Denominators means GCF of 555,981 as per the given fractions.
GCF of 555,981 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9285,8945
5 | 9285, 8945 |
1857, 1789 |
∴ So the LCM of the given numbers is 5 x 1857 x 1789 = 16610865
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 9285,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9285,8945) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9285,8945) x common factors =5 x 1 = 5
LCM(9285,8945) = ( 9285 × 8945 ) / 5
LCM(9285,8945) = 83054325 / 5
LCM(9285,8945) = 16610865
Lets's calculate GCF of 555,981
3 | 555, 981 |
185, 327 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16610865/3
Therefore the LCM of Fractions 9285/555,8945/981 is 5536955
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 555,981 . The biggest common factor number is the GCF number.
So the greatest common factor 555,981 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 9285/555, 8945/981?
Answer: LCM of Numerators as per given numbers 9285/555, 8945/981 is
LCM of Numerators i.e. for 9285,8945 is 16610865
GCF of denominators i.e. for 555,981 is 3.
Thus, LCM of Fractions is 5536955.Finally, LCM of Fractions for 9285/555, 8945/981 is 5536955.