Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 877/37, 466/3034 quickly i.e. 408682/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 877/37, 466/3034 is 408682/37.
LCM(877/37, 466/3034) = 408682/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 877/37,466/3034
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 877,466
Least Common Multiple of Numerators i.e. LCM of 877,466 is 408682.
GCF of Denominators means GCF of 37,3034 as per the given fractions.
GCF of 37,3034 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 877,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 408682
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 877,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,466) x common factors =1 x 1 = 1
LCM(877,466) = ( 877 × 466 ) / 1
LCM(877,466) = 408682 / 1
LCM(877,466) = 408682
Lets's calculate GCF of 37,3034
37 | 37, 3034 |
1, 82 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408682/37
Therefore the LCM of Fractions 877/37,466/3034 is 408682/37
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 3034
List of positive integer factors of 3034 that divides 3034 without a remainder.
1,2,37,41,74,82,1517,3034
Greatest Common Factor
We found the factors 37,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 37,3034 is 37.
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 877/37, 466/3034?
Answer: LCM of Numerators as per given numbers 877/37, 466/3034 is
LCM of Numerators i.e. for 877,466 is 408682
GCF of denominators i.e. for 37,3034 is 37.
Thus, LCM of Fractions is 408682/37.Finally, LCM of Fractions for 877/37, 466/3034 is 408682/37.