Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/691, 555/686, 621/549 quickly i.e. 459540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/691, 555/686, 621/549 is 459540.
LCM(20/691, 555/686, 621/549) = 459540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/691,555/686,621/549
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 20,555,621
Least Common Multiple of Numerators i.e. LCM of 20,555,621 is 459540.
GCF of Denominators means GCF of 691,686,549 as per the given fractions.
GCF of 691,686,549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,555,621
3 | 20, 555, 621 |
5 | 20, 185, 207 |
4, 37, 207 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 37 x 207 = 459540
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 20,555,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,555,621) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(20,555,621) x common factors =1 x 15 = 15
LCM(20,555,621) = ( 20 × 555 × 621 ) / 15
LCM(20,555,621) = 6893100 / 15
LCM(20,555,621) = 459540
Lets's calculate GCF of 691,686,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459540/1
Therefore the LCM of Fractions 20/691,555/686,621/549 is 459540
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 691,686,549 . The biggest common factor number is the GCF number.
So the greatest common factor 691,686,549 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 20/691, 555/686, 621/549?
Answer: LCM of Numerators as per given numbers 20/691, 555/686, 621/549 is
LCM of Numerators i.e. for 20,555,621 is 459540
GCF of denominators i.e. for 691,686,549 is 1.
Thus, LCM of Fractions is 459540.Finally, LCM of Fractions for 20/691, 555/686, 621/549 is 459540.