Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/299, 6469/1424 quickly i.e. 4217788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/299, 6469/1424 is 4217788.
LCM(652/299, 6469/1424) = 4217788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/299,6469/1424
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 652,6469
Least Common Multiple of Numerators i.e. LCM of 652,6469 is 4217788.
GCF of Denominators means GCF of 299,1424 as per the given fractions.
GCF of 299,1424 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,6469
Given numbers has no common factors except 1. So, there LCM is their product i.e 4217788
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 652,6469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,6469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,6469) x common factors =1 x 1 = 1
LCM(652,6469) = ( 652 × 6469 ) / 1
LCM(652,6469) = 4217788 / 1
LCM(652,6469) = 4217788
Lets's calculate GCF of 299,1424
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4217788/1
Therefore the LCM of Fractions 652/299,6469/1424 is 4217788
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 299,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 299,1424 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 652/299, 6469/1424?
Answer: LCM of Numerators as per given numbers 652/299, 6469/1424 is
LCM of Numerators i.e. for 652,6469 is 4217788
GCF of denominators i.e. for 299,1424 is 1.
Thus, LCM of Fractions is 4217788.Finally, LCM of Fractions for 652/299, 6469/1424 is 4217788.