Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/22, 560/2808 quickly i.e. 257880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/22, 560/2808 is 257880.
LCM(921/22, 560/2808) = 257880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/22,560/2808
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 921,560
Least Common Multiple of Numerators i.e. LCM of 921,560 is 515760.
GCF of Denominators means GCF of 22,2808 as per the given fractions.
GCF of 22,2808 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,560
Given numbers has no common factors except 1. So, there LCM is their product i.e 515760
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 921,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,560) x common factors =1 x 1 = 1
LCM(921,560) = ( 921 × 560 ) / 1
LCM(921,560) = 515760 / 1
LCM(921,560) = 515760
Lets's calculate GCF of 22,2808
2 | 22, 2808 |
11, 1404 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515760/2
Therefore the LCM of Fractions 921/22,560/2808 is 257880
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 2808
List of positive integer factors of 2808 that divides 2808 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Greatest Common Factor
We found the factors 22,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 22,2808 is 2.
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 921/22, 560/2808?
Answer: LCM of Numerators as per given numbers 921/22, 560/2808 is
LCM of Numerators i.e. for 921,560 is 515760
GCF of denominators i.e. for 22,2808 is 2.
Thus, LCM of Fractions is 257880.Finally, LCM of Fractions for 921/22, 560/2808 is 257880.