Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/565, 545/260, 717/679 quickly i.e. 43765680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/565, 545/260, 717/679 is 43765680.
LCM(560/565, 545/260, 717/679) = 43765680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/565,545/260,717/679
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 560,545,717
Least Common Multiple of Numerators i.e. LCM of 560,545,717 is 43765680.
GCF of Denominators means GCF of 565,260,679 as per the given fractions.
GCF of 565,260,679 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,545,717
5 | 560, 545, 717 |
112, 109, 717 |
∴ So the LCM of the given numbers is 5 x 112 x 109 x 717 = 43765680
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 560,545,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,545,717) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(560,545,717) x common factors =1 x 5 = 5
LCM(560,545,717) = ( 560 × 545 × 717 ) / 5
LCM(560,545,717) = 218828400 / 5
LCM(560,545,717) = 43765680
Lets's calculate GCF of 565,260,679
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43765680/1
Therefore the LCM of Fractions 560/565,545/260,717/679 is 43765680
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Greatest Common Factor
We found the factors 565,260,679 . The biggest common factor number is the GCF number.
So the greatest common factor 565,260,679 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 560/565, 545/260, 717/679?
Answer: LCM of Numerators as per given numbers 560/565, 545/260, 717/679 is
LCM of Numerators i.e. for 560,545,717 is 43765680
GCF of denominators i.e. for 565,260,679 is 1.
Thus, LCM of Fractions is 43765680.Finally, LCM of Fractions for 560/565, 545/260, 717/679 is 43765680.