Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/668, 3466/6030 quickly i.e. 64121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/668, 3466/6030 is 64121.
LCM(37/668, 3466/6030) = 64121
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/668,3466/6030
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 37,3466
Least Common Multiple of Numerators i.e. LCM of 37,3466 is 128242.
GCF of Denominators means GCF of 668,6030 as per the given fractions.
GCF of 668,6030 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,3466
Given numbers has no common factors except 1. So, there LCM is their product i.e 128242
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 37,3466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,3466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,3466) x common factors =1 x 1 = 1
LCM(37,3466) = ( 37 × 3466 ) / 1
LCM(37,3466) = 128242 / 1
LCM(37,3466) = 128242
Lets's calculate GCF of 668,6030
2 | 668, 6030 |
334, 3015 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128242/2
Therefore the LCM of Fractions 37/668,3466/6030 is 64121
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 6030
List of positive integer factors of 6030 that divides 6030 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Greatest Common Factor
We found the factors 668,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 668,6030 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 37/668, 3466/6030?
Answer: LCM of Numerators as per given numbers 37/668, 3466/6030 is
LCM of Numerators i.e. for 37,3466 is 128242
GCF of denominators i.e. for 668,6030 is 2.
Thus, LCM of Fractions is 64121.Finally, LCM of Fractions for 37/668, 3466/6030 is 64121.