Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/612, 91/771, 624/283 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/612, 91/771, 624/283 is 4368.
LCM(16/612, 91/771, 624/283) = 4368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/612,91/771,624/283
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 16,91,624
Least Common Multiple of Numerators i.e. LCM of 16,91,624 is 4368.
GCF of Denominators means GCF of 612,771,283 as per the given fractions.
GCF of 612,771,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,91,624
2 | 16, 91, 624 |
2 | 8, 91, 312 |
2 | 4, 91, 156 |
2 | 2, 91, 78 |
13 | 1, 91, 39 |
1, 7, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 1 x 7 x 3 = 4368
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 16,91,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,91,624) = 1
common factors(in case of two or more numbers have common factors) = 208
GCF(16,91,624) x common factors =1 x 208 = 208
LCM(16,91,624) = ( 16 × 91 × 624 ) / 208
LCM(16,91,624) = 908544 / 208
LCM(16,91,624) = 4368
Lets's calculate GCF of 612,771,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4368/1
Therefore the LCM of Fractions 16/612,91/771,624/283 is 4368
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 612,771,283 . The biggest common factor number is the GCF number.
So the greatest common factor 612,771,283 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 16/612, 91/771, 624/283?
Answer: LCM of Numerators as per given numbers 16/612, 91/771, 624/283 is
LCM of Numerators i.e. for 16,91,624 is 4368
GCF of denominators i.e. for 612,771,283 is 1.
Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 16/612, 91/771, 624/283 is 4368.