Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/562, 5549/2205 quickly i.e. 355136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/562, 5549/2205 is 355136.
LCM(64/562, 5549/2205) = 355136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/562,5549/2205
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 64,5549
Least Common Multiple of Numerators i.e. LCM of 64,5549 is 355136.
GCF of Denominators means GCF of 562,2205 as per the given fractions.
GCF of 562,2205 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,5549
Given numbers has no common factors except 1. So, there LCM is their product i.e 355136
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 64,5549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,5549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,5549) x common factors =1 x 1 = 1
LCM(64,5549) = ( 64 × 5549 ) / 1
LCM(64,5549) = 355136 / 1
LCM(64,5549) = 355136
Lets's calculate GCF of 562,2205
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355136/1
Therefore the LCM of Fractions 64/562,5549/2205 is 355136
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 2205
List of positive integer factors of 2205 that divides 2205 without a remainder.
1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Greatest Common Factor
We found the factors 562,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 562,2205 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 64/562, 5549/2205?
Answer: LCM of Numerators as per given numbers 64/562, 5549/2205 is
LCM of Numerators i.e. for 64,5549 is 355136
GCF of denominators i.e. for 562,2205 is 1.
Thus, LCM of Fractions is 355136.Finally, LCM of Fractions for 64/562, 5549/2205 is 355136.