Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 576/20, 653/7730 quickly i.e. 376128/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 576/20, 653/7730 is 376128/10.
LCM(576/20, 653/7730) = 376128/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 576/20,653/7730
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 576,653
Least Common Multiple of Numerators i.e. LCM of 576,653 is 376128.
GCF of Denominators means GCF of 20,7730 as per the given fractions.
GCF of 20,7730 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 576,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 376128
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 576,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,653) x common factors =1 x 1 = 1
LCM(576,653) = ( 576 × 653 ) / 1
LCM(576,653) = 376128 / 1
LCM(576,653) = 376128
Lets's calculate GCF of 20,7730
2 | 20, 7730 |
5 | 10, 3865 |
2, 773 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376128/10
Therefore the LCM of Fractions 576/20,653/7730 is 376128/10
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 7730
List of positive integer factors of 7730 that divides 7730 without a remainder.
1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 20,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7730 is 10.
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 576/20, 653/7730?
Answer: LCM of Numerators as per given numbers 576/20, 653/7730 is
LCM of Numerators i.e. for 576,653 is 376128
GCF of denominators i.e. for 20,7730 is 10.
Thus, LCM of Fractions is 376128/10.Finally, LCM of Fractions for 576/20, 653/7730 is 376128/10.