Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 562/19, 825/5264 quickly i.e. 463650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 562/19, 825/5264 is 463650.
LCM(562/19, 825/5264) = 463650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 562/19,825/5264
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 562,825
Least Common Multiple of Numerators i.e. LCM of 562,825 is 463650.
GCF of Denominators means GCF of 19,5264 as per the given fractions.
GCF of 19,5264 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 562,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 463650
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 562,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,825) x common factors =1 x 1 = 1
LCM(562,825) = ( 562 × 825 ) / 1
LCM(562,825) = 463650 / 1
LCM(562,825) = 463650
Lets's calculate GCF of 19,5264
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463650/1
Therefore the LCM of Fractions 562/19,825/5264 is 463650
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 5264
List of positive integer factors of 5264 that divides 5264 without a remainder.
1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Greatest Common Factor
We found the factors 19,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 19,5264 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 562/19, 825/5264?
Answer: LCM of Numerators as per given numbers 562/19, 825/5264 is
LCM of Numerators i.e. for 562,825 is 463650
GCF of denominators i.e. for 19,5264 is 1.
Thus, LCM of Fractions is 463650.Finally, LCM of Fractions for 562/19, 825/5264 is 463650.