Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5497/560, 9713/273 quickly i.e. 53392361/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5497/560, 9713/273 is 53392361/7.
LCM(5497/560, 9713/273) = 53392361/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5497/560,9713/273
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 5497,9713
Least Common Multiple of Numerators i.e. LCM of 5497,9713 is 53392361.
GCF of Denominators means GCF of 560,273 as per the given fractions.
GCF of 560,273 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5497,9713
Given numbers has no common factors except 1. So, there LCM is their product i.e 53392361
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 5497,9713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5497,9713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5497,9713) x common factors =1 x 1 = 1
LCM(5497,9713) = ( 5497 × 9713 ) / 1
LCM(5497,9713) = 53392361 / 1
LCM(5497,9713) = 53392361
Lets's calculate GCF of 560,273
7 | 560, 273 |
80, 39 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53392361/7
Therefore the LCM of Fractions 5497/560,9713/273 is 53392361/7
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 560,273 . The biggest common factor number is the GCF number.
So the greatest common factor 560,273 is 7.
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 5497/560, 9713/273?
Answer: LCM of Numerators as per given numbers 5497/560, 9713/273 is
LCM of Numerators i.e. for 5497,9713 is 53392361
GCF of denominators i.e. for 560,273 is 7.
Thus, LCM of Fractions is 53392361/7.Finally, LCM of Fractions for 5497/560, 9713/273 is 53392361/7.