Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 193/560, 800/313, 807/905 quickly i.e. 124600800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 193/560, 800/313, 807/905 is 124600800.
LCM(193/560, 800/313, 807/905) = 124600800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 193/560,800/313,807/905
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 193,800,807
Least Common Multiple of Numerators i.e. LCM of 193,800,807 is 124600800.
GCF of Denominators means GCF of 560,313,905 as per the given fractions.
GCF of 560,313,905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 193,800,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 124600800
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 193,800,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,800,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,800,807) x common factors =1 x 1 = 1
LCM(193,800,807) = ( 193 × 800 × 807 ) / 1
LCM(193,800,807) = 124600800 / 1
LCM(193,800,807) = 124600800
Lets's calculate GCF of 560,313,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124600800/1
Therefore the LCM of Fractions 193/560,800/313,807/905 is 124600800
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 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 560,313,905 . The biggest common factor number is the GCF number.
So the greatest common factor 560,313,905 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 193/560, 800/313, 807/905?
Answer: LCM of Numerators as per given numbers 193/560, 800/313, 807/905 is
LCM of Numerators i.e. for 193,800,807 is 124600800
GCF of denominators i.e. for 560,313,905 is 1.
Thus, LCM of Fractions is 124600800.Finally, LCM of Fractions for 193/560, 800/313, 807/905 is 124600800.