Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 744/611, 2215/228 quickly i.e. 1647960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 744/611, 2215/228 is 1647960.
LCM(744/611, 2215/228) = 1647960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 744/611,2215/228
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 744,2215
Least Common Multiple of Numerators i.e. LCM of 744,2215 is 1647960.
GCF of Denominators means GCF of 611,228 as per the given fractions.
GCF of 611,228 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 744,2215
Given numbers has no common factors except 1. So, there LCM is their product i.e 1647960
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 744,2215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,2215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(744,2215) x common factors =1 x 1 = 1
LCM(744,2215) = ( 744 × 2215 ) / 1
LCM(744,2215) = 1647960 / 1
LCM(744,2215) = 1647960
Lets's calculate GCF of 611,228
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1647960/1
Therefore the LCM of Fractions 744/611,2215/228 is 1647960
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 611,228 . The biggest common factor number is the GCF number.
So the greatest common factor 611,228 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 744/611, 2215/228?
Answer: LCM of Numerators as per given numbers 744/611, 2215/228 is
LCM of Numerators i.e. for 744,2215 is 1647960
GCF of denominators i.e. for 611,228 is 1.
Thus, LCM of Fractions is 1647960.Finally, LCM of Fractions for 744/611, 2215/228 is 1647960.