Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6349/571, 9653/425 quickly i.e. 8755271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6349/571, 9653/425 is 8755271.
LCM(6349/571, 9653/425) = 8755271
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6349/571,9653/425
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 6349,9653
Least Common Multiple of Numerators i.e. LCM of 6349,9653 is 8755271.
GCF of Denominators means GCF of 571,425 as per the given fractions.
GCF of 571,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6349,9653
7 | 6349, 9653 |
907, 1379 |
∴ So the LCM of the given numbers is 7 x 907 x 1379 = 8755271
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 6349,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6349,9653) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(6349,9653) x common factors =7 x 1 = 7
LCM(6349,9653) = ( 6349 × 9653 ) / 7
LCM(6349,9653) = 61286897 / 7
LCM(6349,9653) = 8755271
Lets's calculate GCF of 571,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8755271/1
Therefore the LCM of Fractions 6349/571,9653/425 is 8755271
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 571,425 . The biggest common factor number is the GCF number.
So the greatest common factor 571,425 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 6349/571, 9653/425?
Answer: LCM of Numerators as per given numbers 6349/571, 9653/425 is
LCM of Numerators i.e. for 6349,9653 is 8755271
GCF of denominators i.e. for 571,425 is 1.
Thus, LCM of Fractions is 8755271.Finally, LCM of Fractions for 6349/571, 9653/425 is 8755271.