Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 470/573, 9653/873 quickly i.e. 4536910/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 470/573, 9653/873 is 4536910/3.
LCM(470/573, 9653/873) = 4536910/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 470/573,9653/873
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 470,9653
Least Common Multiple of Numerators i.e. LCM of 470,9653 is 4536910.
GCF of Denominators means GCF of 573,873 as per the given fractions.
GCF of 573,873 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 470,9653
Given numbers has no common factors except 1. So, there LCM is their product i.e 4536910
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 470,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,9653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,9653) x common factors =1 x 1 = 1
LCM(470,9653) = ( 470 × 9653 ) / 1
LCM(470,9653) = 4536910 / 1
LCM(470,9653) = 4536910
Lets's calculate GCF of 573,873
3 | 573, 873 |
191, 291 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4536910/3
Therefore the LCM of Fractions 470/573,9653/873 is 4536910/3
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 573,873 . The biggest common factor number is the GCF number.
So the greatest common factor 573,873 is 3.
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 470/573, 9653/873?
Answer: LCM of Numerators as per given numbers 470/573, 9653/873 is
LCM of Numerators i.e. for 470,9653 is 4536910
GCF of denominators i.e. for 573,873 is 3.
Thus, LCM of Fractions is 4536910/3.Finally, LCM of Fractions for 470/573, 9653/873 is 4536910/3.