Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3529/835, 1338/3348 quickly i.e. 4721802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3529/835, 1338/3348 is 4721802.
LCM(3529/835, 1338/3348) = 4721802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3529/835,1338/3348
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 3529,1338
Least Common Multiple of Numerators i.e. LCM of 3529,1338 is 4721802.
GCF of Denominators means GCF of 835,3348 as per the given fractions.
GCF of 835,3348 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3529,1338
Given numbers has no common factors except 1. So, there LCM is their product i.e 4721802
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 3529,1338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3529,1338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3529,1338) x common factors =1 x 1 = 1
LCM(3529,1338) = ( 3529 × 1338 ) / 1
LCM(3529,1338) = 4721802 / 1
LCM(3529,1338) = 4721802
Lets's calculate GCF of 835,3348
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4721802/1
Therefore the LCM of Fractions 3529/835,1338/3348 is 4721802
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 3348
List of positive integer factors of 3348 that divides 3348 without a remainder.
1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348
Greatest Common Factor
We found the factors 835,3348 . The biggest common factor number is the GCF number.
So the greatest common factor 835,3348 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 3529/835, 1338/3348?
Answer: LCM of Numerators as per given numbers 3529/835, 1338/3348 is
LCM of Numerators i.e. for 3529,1338 is 4721802
GCF of denominators i.e. for 835,3348 is 1.
Thus, LCM of Fractions is 4721802.Finally, LCM of Fractions for 3529/835, 1338/3348 is 4721802.