Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 838/44, 886/39, 966/176 quickly i.e. 179306022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 838/44, 886/39, 966/176 is 179306022.
LCM(838/44, 886/39, 966/176) = 179306022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 838/44,886/39,966/176
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 838,886,966
Least Common Multiple of Numerators i.e. LCM of 838,886,966 is 179306022.
GCF of Denominators means GCF of 44,39,176 as per the given fractions.
GCF of 44,39,176 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 838,886,966
2 | 838, 886, 966 |
419, 443, 483 |
∴ So the LCM of the given numbers is 2 x 419 x 443 x 483 = 179306022
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 838,886,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,886,966) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(838,886,966) x common factors =2 x 2 = 4
LCM(838,886,966) = ( 838 × 886 × 966 ) / 4
LCM(838,886,966) = 717224088 / 4
LCM(838,886,966) = 179306022
Lets's calculate GCF of 44,39,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179306022/1
Therefore the LCM of Fractions 838/44,886/39,966/176 is 179306022
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
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
Greatest Common Factor
We found the factors 44,39,176 . The biggest common factor number is the GCF number.
So the greatest common factor 44,39,176 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 838/44, 886/39, 966/176?
Answer: LCM of Numerators as per given numbers 838/44, 886/39, 966/176 is
LCM of Numerators i.e. for 838,886,966 is 179306022
GCF of denominators i.e. for 44,39,176 is 1.
Thus, LCM of Fractions is 179306022.Finally, LCM of Fractions for 838/44, 886/39, 966/176 is 179306022.