Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/81, 5/32, 85/53, 19/282 quickly i.e. 9690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/81, 5/32, 85/53, 19/282 is 9690.
LCM(6/81, 5/32, 85/53, 19/282) = 9690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/81,5/32,85/53,19/282
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 6,5,85,19
Least Common Multiple of Numerators i.e. LCM of 6,5,85,19 is 9690.
GCF of Denominators means GCF of 81,32,53,282 as per the given fractions.
GCF of 81,32,53,282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,5,85,19
5 | 6, 5, 85, 19 |
6, 1, 17, 19 |
∴ So the LCM of the given numbers is 5 x 6 x 1 x 17 x 19 = 9690
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 6,5,85,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,5,85,19) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(6,5,85,19) x common factors =1 x 5 = 5
LCM(6,5,85,19) = ( 6 × 5 × 85 × 19 ) / 5
LCM(6,5,85,19) = 48450 / 5
LCM(6,5,85,19) = 9690
Lets's calculate GCF of 81,32,53,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9690/1
Therefore the LCM of Fractions 6/81,5/32,85/53,19/282 is 9690
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 81,32,53,282 . The biggest common factor number is the GCF number.
So the greatest common factor 81,32,53,282 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 6/81, 5/32, 85/53, 19/282?
Answer: LCM of Numerators as per given numbers 6/81, 5/32, 85/53, 19/282 is
LCM of Numerators i.e. for 6,5,85,19 is 9690
GCF of denominators i.e. for 81,32,53,282 is 1.
Thus, LCM of Fractions is 9690.Finally, LCM of Fractions for 6/81, 5/32, 85/53, 19/282 is 9690.