Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/928, 933/824, 177/184 quickly i.e. 110094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/928, 933/824, 177/184 is 110094.
LCM(16/928, 933/824, 177/184) = 110094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/928,933/824,177/184
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 16,933,177
Least Common Multiple of Numerators i.e. LCM of 16,933,177 is 880752.
GCF of Denominators means GCF of 928,824,184 as per the given fractions.
GCF of 928,824,184 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,933,177
3 | 16, 933, 177 |
16, 311, 59 |
∴ So the LCM of the given numbers is 3 x 16 x 311 x 59 = 880752
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 16,933,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,933,177) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(16,933,177) x common factors =1 x 3 = 3
LCM(16,933,177) = ( 16 × 933 × 177 ) / 3
LCM(16,933,177) = 2642256 / 3
LCM(16,933,177) = 880752
Lets's calculate GCF of 928,824,184
2 | 928, 824, 184 |
2 | 464, 412, 92 |
2 | 232, 206, 46 |
116, 103, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880752/8
Therefore the LCM of Fractions 16/928,933/824,177/184 is 110094
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 928,824,184 . The biggest common factor number is the GCF number.
So the greatest common factor 928,824,184 is 8.
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 16/928, 933/824, 177/184?
Answer: LCM of Numerators as per given numbers 16/928, 933/824, 177/184 is
LCM of Numerators i.e. for 16,933,177 is 880752
GCF of denominators i.e. for 928,824,184 is 8.
Thus, LCM of Fractions is 110094.Finally, LCM of Fractions for 16/928, 933/824, 177/184 is 110094.