Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/831, 572/321, 478/482 quickly i.e. 546832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/831, 572/321, 478/482 is 546832.
LCM(16/831, 572/321, 478/482) = 546832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/831,572/321,478/482
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 16,572,478
Least Common Multiple of Numerators i.e. LCM of 16,572,478 is 546832.
GCF of Denominators means GCF of 831,321,482 as per the given fractions.
GCF of 831,321,482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,572,478
2 | 16, 572, 478 |
2 | 8, 286, 239 |
4, 143, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 143 x 239 = 546832
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 16,572,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,572,478) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(16,572,478) x common factors =2 x 4 = 8
LCM(16,572,478) = ( 16 × 572 × 478 ) / 8
LCM(16,572,478) = 4374656 / 8
LCM(16,572,478) = 546832
Lets's calculate GCF of 831,321,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546832/1
Therefore the LCM of Fractions 16/831,572/321,478/482 is 546832
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 831,321,482 . The biggest common factor number is the GCF number.
So the greatest common factor 831,321,482 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 16/831, 572/321, 478/482?
Answer: LCM of Numerators as per given numbers 16/831, 572/321, 478/482 is
LCM of Numerators i.e. for 16,572,478 is 546832
GCF of denominators i.e. for 831,321,482 is 1.
Thus, LCM of Fractions is 546832.Finally, LCM of Fractions for 16/831, 572/321, 478/482 is 546832.