Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 482/820, 8544/560 quickly i.e. 2059104/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 482/820, 8544/560 is 2059104/20.
LCM(482/820, 8544/560) = 2059104/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 482/820,8544/560
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 482,8544
Least Common Multiple of Numerators i.e. LCM of 482,8544 is 2059104.
GCF of Denominators means GCF of 820,560 as per the given fractions.
GCF of 820,560 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 482,8544
2 | 482, 8544 |
241, 4272 |
∴ So the LCM of the given numbers is 2 x 241 x 4272 = 2059104
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 482,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,8544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,8544) x common factors =2 x 1 = 2
LCM(482,8544) = ( 482 × 8544 ) / 2
LCM(482,8544) = 4118208 / 2
LCM(482,8544) = 2059104
Lets's calculate GCF of 820,560
2 | 820, 560 |
2 | 410, 280 |
5 | 205, 140 |
41, 28 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2059104/20
Therefore the LCM of Fractions 482/820,8544/560 is 2059104/20
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
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
Greatest Common Factor
We found the factors 820,560 . The biggest common factor number is the GCF number.
So the greatest common factor 820,560 is 20.
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 482/820, 8544/560?
Answer: LCM of Numerators as per given numbers 482/820, 8544/560 is
LCM of Numerators i.e. for 482,8544 is 2059104
GCF of denominators i.e. for 820,560 is 20.
Thus, LCM of Fractions is 2059104/20.Finally, LCM of Fractions for 482/820, 8544/560 is 2059104/20.