Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/888, 682/350, 707/874 quickly i.e. 1928696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/888, 682/350, 707/874 is 1928696.
LCM(16/888, 682/350, 707/874) = 1928696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/888,682/350,707/874
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 16,682,707
Least Common Multiple of Numerators i.e. LCM of 16,682,707 is 3857392.
GCF of Denominators means GCF of 888,350,874 as per the given fractions.
GCF of 888,350,874 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,682,707
2 | 16, 682, 707 |
8, 341, 707 |
∴ So the LCM of the given numbers is 2 x 8 x 341 x 707 = 3857392
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 16,682,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,682,707) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,682,707) x common factors =1 x 2 = 2
LCM(16,682,707) = ( 16 × 682 × 707 ) / 2
LCM(16,682,707) = 7714784 / 2
LCM(16,682,707) = 3857392
Lets's calculate GCF of 888,350,874
2 | 888, 350, 874 |
444, 175, 437 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3857392/2
Therefore the LCM of Fractions 16/888,682/350,707/874 is 1928696
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 888,350,874 . The biggest common factor number is the GCF number.
So the greatest common factor 888,350,874 is 2.
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 16/888, 682/350, 707/874?
Answer: LCM of Numerators as per given numbers 16/888, 682/350, 707/874 is
LCM of Numerators i.e. for 16,682,707 is 3857392
GCF of denominators i.e. for 888,350,874 is 2.
Thus, LCM of Fractions is 1928696.Finally, LCM of Fractions for 16/888, 682/350, 707/874 is 1928696.