Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3035/615, 2144/1834 quickly i.e. 6507040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3035/615, 2144/1834 is 6507040.
LCM(3035/615, 2144/1834) = 6507040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3035/615,2144/1834
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 3035,2144
Least Common Multiple of Numerators i.e. LCM of 3035,2144 is 6507040.
GCF of Denominators means GCF of 615,1834 as per the given fractions.
GCF of 615,1834 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3035,2144
Given numbers has no common factors except 1. So, there LCM is their product i.e 6507040
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 3035,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3035,2144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3035,2144) x common factors =1 x 1 = 1
LCM(3035,2144) = ( 3035 × 2144 ) / 1
LCM(3035,2144) = 6507040 / 1
LCM(3035,2144) = 6507040
Lets's calculate GCF of 615,1834
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6507040/1
Therefore the LCM of Fractions 3035/615,2144/1834 is 6507040
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 1834
List of positive integer factors of 1834 that divides 1834 without a remainder.
1,2,7,14,131,262,917,1834
Greatest Common Factor
We found the factors 615,1834 . The biggest common factor number is the GCF number.
So the greatest common factor 615,1834 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 3035/615, 2144/1834?
Answer: LCM of Numerators as per given numbers 3035/615, 2144/1834 is
LCM of Numerators i.e. for 3035,2144 is 6507040
GCF of denominators i.e. for 615,1834 is 1.
Thus, LCM of Fractions is 6507040.Finally, LCM of Fractions for 3035/615, 2144/1834 is 6507040.