Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/366, 16/375, 166/261 quickly i.e. 1328/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/366, 16/375, 166/261 is 1328/3.
LCM(83/366, 16/375, 166/261) = 1328/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/366,16/375,166/261
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 83,16,166
Least Common Multiple of Numerators i.e. LCM of 83,16,166 is 1328.
GCF of Denominators means GCF of 366,375,261 as per the given fractions.
GCF of 366,375,261 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,16,166
2 | 83, 16, 166 |
83 | 83, 8, 83 |
1, 8, 1 |
∴ So the LCM of the given numbers is 2 x 83 x 1 x 8 x 1 = 1328
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 83,16,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,16,166) = 1
common factors(in case of two or more numbers have common factors) = 166
GCF(83,16,166) x common factors =1 x 166 = 166
LCM(83,16,166) = ( 83 × 16 × 166 ) / 166
LCM(83,16,166) = 220448 / 166
LCM(83,16,166) = 1328
Lets's calculate GCF of 366,375,261
3 | 366, 375, 261 |
122, 125, 87 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1328/3
Therefore the LCM of Fractions 83/366,16/375,166/261 is 1328/3
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 366,375,261 . The biggest common factor number is the GCF number.
So the greatest common factor 366,375,261 is 3.
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 83/366, 16/375, 166/261?
Answer: LCM of Numerators as per given numbers 83/366, 16/375, 166/261 is
LCM of Numerators i.e. for 83,16,166 is 1328
GCF of denominators i.e. for 366,375,261 is 3.
Thus, LCM of Fractions is 1328/3.Finally, LCM of Fractions for 83/366, 16/375, 166/261 is 1328/3.