Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6227/560, 5363/2672 quickly i.e. 33395401/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6227/560, 5363/2672 is 33395401/16.
LCM(6227/560, 5363/2672) = 33395401/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6227/560,5363/2672
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 6227,5363
Least Common Multiple of Numerators i.e. LCM of 6227,5363 is 33395401.
GCF of Denominators means GCF of 560,2672 as per the given fractions.
GCF of 560,2672 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6227,5363
Given numbers has no common factors except 1. So, there LCM is their product i.e 33395401
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 6227,5363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6227,5363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6227,5363) x common factors =1 x 1 = 1
LCM(6227,5363) = ( 6227 × 5363 ) / 1
LCM(6227,5363) = 33395401 / 1
LCM(6227,5363) = 33395401
Lets's calculate GCF of 560,2672
2 | 560, 2672 |
2 | 280, 1336 |
2 | 140, 668 |
2 | 70, 334 |
35, 167 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33395401/16
Therefore the LCM of Fractions 6227/560,5363/2672 is 33395401/16
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 2672
List of positive integer factors of 2672 that divides 2672 without a remainder.
1,2,4,8,16,167,334,668,1336,2672
Greatest Common Factor
We found the factors 560,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 560,2672 is 16.
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 6227/560, 5363/2672?
Answer: LCM of Numerators as per given numbers 6227/560, 5363/2672 is
LCM of Numerators i.e. for 6227,5363 is 33395401
GCF of denominators i.e. for 560,2672 is 16.
Thus, LCM of Fractions is 33395401/16.Finally, LCM of Fractions for 6227/560, 5363/2672 is 33395401/16.