Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4554/176, 2171/4081 quickly i.e. 898794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4554/176, 2171/4081 is 898794.
LCM(4554/176, 2171/4081) = 898794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4554/176,2171/4081
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 4554,2171
Least Common Multiple of Numerators i.e. LCM of 4554,2171 is 9886734.
GCF of Denominators means GCF of 176,4081 as per the given fractions.
GCF of 176,4081 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4554,2171
Given numbers has no common factors except 1. So, there LCM is their product i.e 9886734
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 4554,2171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4554,2171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4554,2171) x common factors =1 x 1 = 1
LCM(4554,2171) = ( 4554 × 2171 ) / 1
LCM(4554,2171) = 9886734 / 1
LCM(4554,2171) = 9886734
Lets's calculate GCF of 176,4081
11 | 176, 4081 |
16, 371 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9886734/11
Therefore the LCM of Fractions 4554/176,2171/4081 is 898794
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 4081
List of positive integer factors of 4081 that divides 4081 without a remainder.
1,7,11,53,77,371,583,4081
Greatest Common Factor
We found the factors 176,4081 . The biggest common factor number is the GCF number.
So the greatest common factor 176,4081 is 11.
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 4554/176, 2171/4081?
Answer: LCM of Numerators as per given numbers 4554/176, 2171/4081 is
LCM of Numerators i.e. for 4554,2171 is 9886734
GCF of denominators i.e. for 176,4081 is 11.
Thus, LCM of Fractions is 898794.Finally, LCM of Fractions for 4554/176, 2171/4081 is 898794.