Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/65, 20/61, 20/80, 63/747 quickly i.e. 99540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/65, 20/61, 20/80, 63/747 is 99540.
LCM(79/65, 20/61, 20/80, 63/747) = 99540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/65,20/61,20/80,63/747
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 79,20,20,63
Least Common Multiple of Numerators i.e. LCM of 79,20,20,63 is 99540.
GCF of Denominators means GCF of 65,61,80,747 as per the given fractions.
GCF of 65,61,80,747 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,20,20,63
2 | 79, 20, 20, 63 |
2 | 79, 10, 10, 63 |
5 | 79, 5, 5, 63 |
79, 1, 1, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 79 x 1 x 1 x 63 = 99540
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 79,20,20,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,20,20,63) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(79,20,20,63) x common factors =1 x 20 = 20
LCM(79,20,20,63) = ( 79 × 20 × 20 × 63 ) / 20
LCM(79,20,20,63) = 1990800 / 20
LCM(79,20,20,63) = 99540
Lets's calculate GCF of 65,61,80,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99540/1
Therefore the LCM of Fractions 79/65,20/61,20/80,63/747 is 99540
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 65,61,80,747 . The biggest common factor number is the GCF number.
So the greatest common factor 65,61,80,747 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 79/65, 20/61, 20/80, 63/747?
Answer: LCM of Numerators as per given numbers 79/65, 20/61, 20/80, 63/747 is
LCM of Numerators i.e. for 79,20,20,63 is 99540
GCF of denominators i.e. for 65,61,80,747 is 1.
Thus, LCM of Fractions is 99540.Finally, LCM of Fractions for 79/65, 20/61, 20/80, 63/747 is 99540.