Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8805/531, 8655/6870 quickly i.e. 1693495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8805/531, 8655/6870 is 1693495.
LCM(8805/531, 8655/6870) = 1693495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8805/531,8655/6870
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 8805,8655
Least Common Multiple of Numerators i.e. LCM of 8805,8655 is 5080485.
GCF of Denominators means GCF of 531,6870 as per the given fractions.
GCF of 531,6870 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8805,8655
3 | 8805, 8655 |
5 | 2935, 2885 |
587, 577 |
∴ So the LCM of the given numbers is 3 x 5 x 587 x 577 = 5080485
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 8805,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8805,8655) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(8805,8655) x common factors =15 x 1 = 15
LCM(8805,8655) = ( 8805 × 8655 ) / 15
LCM(8805,8655) = 76207275 / 15
LCM(8805,8655) = 5080485
Lets's calculate GCF of 531,6870
3 | 531, 6870 |
177, 2290 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5080485/3
Therefore the LCM of Fractions 8805/531,8655/6870 is 1693495
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 6870
List of positive integer factors of 6870 that divides 6870 without a remainder.
1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 531,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 531,6870 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 8805/531, 8655/6870?
Answer: LCM of Numerators as per given numbers 8805/531, 8655/6870 is
LCM of Numerators i.e. for 8805,8655 is 5080485
GCF of denominators i.e. for 531,6870 is 3.
Thus, LCM of Fractions is 1693495.Finally, LCM of Fractions for 8805/531, 8655/6870 is 1693495.