Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/539, 885/559, 703/905 quickly i.e. 2488620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/539, 885/559, 703/905 is 2488620.
LCM(12/539, 885/559, 703/905) = 2488620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/539,885/559,703/905
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 12,885,703
Least Common Multiple of Numerators i.e. LCM of 12,885,703 is 2488620.
GCF of Denominators means GCF of 539,559,905 as per the given fractions.
GCF of 539,559,905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,885,703
3 | 12, 885, 703 |
4, 295, 703 |
∴ So the LCM of the given numbers is 3 x 4 x 295 x 703 = 2488620
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 12,885,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,885,703) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(12,885,703) x common factors =1 x 3 = 3
LCM(12,885,703) = ( 12 × 885 × 703 ) / 3
LCM(12,885,703) = 7465860 / 3
LCM(12,885,703) = 2488620
Lets's calculate GCF of 539,559,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2488620/1
Therefore the LCM of Fractions 12/539,885/559,703/905 is 2488620
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 539,559,905 . The biggest common factor number is the GCF number.
So the greatest common factor 539,559,905 is 1.
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 12/539, 885/559, 703/905?
Answer: LCM of Numerators as per given numbers 12/539, 885/559, 703/905 is
LCM of Numerators i.e. for 12,885,703 is 2488620
GCF of denominators i.e. for 539,559,905 is 1.
Thus, LCM of Fractions is 2488620.Finally, LCM of Fractions for 12/539, 885/559, 703/905 is 2488620.