Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/55, 13/806, 547/580 quickly i.e. 618657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/55, 13/806, 547/580 is 618657.
LCM(87/55, 13/806, 547/580) = 618657
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/55,13/806,547/580
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 87,13,547
Least Common Multiple of Numerators i.e. LCM of 87,13,547 is 618657.
GCF of Denominators means GCF of 55,806,580 as per the given fractions.
GCF of 55,806,580 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,13,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 618657
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 87,13,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,13,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,13,547) x common factors =1 x 1 = 1
LCM(87,13,547) = ( 87 × 13 × 547 ) / 1
LCM(87,13,547) = 618657 / 1
LCM(87,13,547) = 618657
Lets's calculate GCF of 55,806,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 618657/1
Therefore the LCM of Fractions 87/55,13/806,547/580 is 618657
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 55,806,580 . The biggest common factor number is the GCF number.
So the greatest common factor 55,806,580 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 87/55, 13/806, 547/580?
Answer: LCM of Numerators as per given numbers 87/55, 13/806, 547/580 is
LCM of Numerators i.e. for 87,13,547 is 618657
GCF of denominators i.e. for 55,806,580 is 1.
Thus, LCM of Fractions is 618657.Finally, LCM of Fractions for 87/55, 13/806, 547/580 is 618657.