Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/971, 68/418, 486/692 quickly i.e. 66096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/971, 68/418, 486/692 is 66096.
LCM(16/971, 68/418, 486/692) = 66096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/971,68/418,486/692
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 16,68,486
Least Common Multiple of Numerators i.e. LCM of 16,68,486 is 66096.
GCF of Denominators means GCF of 971,418,692 as per the given fractions.
GCF of 971,418,692 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,68,486
2 | 16, 68, 486 |
2 | 8, 34, 243 |
4, 17, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 17 x 243 = 66096
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 16,68,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,68,486) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(16,68,486) x common factors =2 x 4 = 8
LCM(16,68,486) = ( 16 × 68 × 486 ) / 8
LCM(16,68,486) = 528768 / 8
LCM(16,68,486) = 66096
Lets's calculate GCF of 971,418,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66096/1
Therefore the LCM of Fractions 16/971,68/418,486/692 is 66096
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 971,418,692 . The biggest common factor number is the GCF number.
So the greatest common factor 971,418,692 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 16/971, 68/418, 486/692?
Answer: LCM of Numerators as per given numbers 16/971, 68/418, 486/692 is
LCM of Numerators i.e. for 16,68,486 is 66096
GCF of denominators i.e. for 971,418,692 is 1.
Thus, LCM of Fractions is 66096.Finally, LCM of Fractions for 16/971, 68/418, 486/692 is 66096.