Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/28, 201/722 quickly i.e. 64722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/28, 201/722 is 64722.
LCM(644/28, 201/722) = 64722
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/28,201/722
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 644,201
Least Common Multiple of Numerators i.e. LCM of 644,201 is 129444.
GCF of Denominators means GCF of 28,722 as per the given fractions.
GCF of 28,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 129444
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 644,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,201) x common factors =1 x 1 = 1
LCM(644,201) = ( 644 × 201 ) / 1
LCM(644,201) = 129444 / 1
LCM(644,201) = 129444
Lets's calculate GCF of 28,722
2 | 28, 722 |
14, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129444/2
Therefore the LCM of Fractions 644/28,201/722 is 64722
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 28,722 . The biggest common factor number is the GCF number.
So the greatest common factor 28,722 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 644/28, 201/722?
Answer: LCM of Numerators as per given numbers 644/28, 201/722 is
LCM of Numerators i.e. for 644,201 is 129444
GCF of denominators i.e. for 28,722 is 2.
Thus, LCM of Fractions is 64722.Finally, LCM of Fractions for 644/28, 201/722 is 64722.