Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 999/73, 723/42, 637/416 quickly i.e. 153363483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 999/73, 723/42, 637/416 is 153363483.
LCM(999/73, 723/42, 637/416) = 153363483
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 999/73,723/42,637/416
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 999,723,637
Least Common Multiple of Numerators i.e. LCM of 999,723,637 is 153363483.
GCF of Denominators means GCF of 73,42,416 as per the given fractions.
GCF of 73,42,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 999,723,637
3 | 999, 723, 637 |
333, 241, 637 |
∴ So the LCM of the given numbers is 3 x 333 x 241 x 637 = 153363483
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 999,723,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,723,637) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(999,723,637) x common factors =1 x 3 = 3
LCM(999,723,637) = ( 999 × 723 × 637 ) / 3
LCM(999,723,637) = 460090449 / 3
LCM(999,723,637) = 153363483
Lets's calculate GCF of 73,42,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153363483/1
Therefore the LCM of Fractions 999/73,723/42,637/416 is 153363483
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 73,42,416 . The biggest common factor number is the GCF number.
So the greatest common factor 73,42,416 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 999/73, 723/42, 637/416?
Answer: LCM of Numerators as per given numbers 999/73, 723/42, 637/416 is
LCM of Numerators i.e. for 999,723,637 is 153363483
GCF of denominators i.e. for 73,42,416 is 1.
Thus, LCM of Fractions is 153363483.Finally, LCM of Fractions for 999/73, 723/42, 637/416 is 153363483.