Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 128/560, 6366/6606 quickly i.e. 203712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 128/560, 6366/6606 is 203712.
LCM(128/560, 6366/6606) = 203712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 128/560,6366/6606
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 128,6366
Least Common Multiple of Numerators i.e. LCM of 128,6366 is 407424.
GCF of Denominators means GCF of 560,6606 as per the given fractions.
GCF of 560,6606 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 128,6366
2 | 128, 6366 |
64, 3183 |
∴ So the LCM of the given numbers is 2 x 64 x 3183 = 407424
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 128,6366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,6366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,6366) x common factors =2 x 1 = 2
LCM(128,6366) = ( 128 × 6366 ) / 2
LCM(128,6366) = 814848 / 2
LCM(128,6366) = 407424
Lets's calculate GCF of 560,6606
2 | 560, 6606 |
280, 3303 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407424/2
Therefore the LCM of Fractions 128/560,6366/6606 is 203712
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 6606
List of positive integer factors of 6606 that divides 6606 without a remainder.
1,2,3,6,9,18,367,734,1101,2202,3303,6606
Greatest Common Factor
We found the factors 560,6606 . The biggest common factor number is the GCF number.
So the greatest common factor 560,6606 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 128/560, 6366/6606?
Answer: LCM of Numerators as per given numbers 128/560, 6366/6606 is
LCM of Numerators i.e. for 128,6366 is 407424
GCF of denominators i.e. for 560,6606 is 2.
Thus, LCM of Fractions is 203712.Finally, LCM of Fractions for 128/560, 6366/6606 is 203712.