Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/86, 54/17, 60/49, 67/391 quickly i.e. 36180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/86, 54/17, 60/49, 67/391 is 36180.
LCM(27/86, 54/17, 60/49, 67/391) = 36180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/86,54/17,60/49,67/391
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 27,54,60,67
Least Common Multiple of Numerators i.e. LCM of 27,54,60,67 is 36180.
GCF of Denominators means GCF of 86,17,49,391 as per the given fractions.
GCF of 86,17,49,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,54,60,67
2 | 27, 54, 60, 67 |
3 | 27, 27, 30, 67 |
3 | 9, 9, 10, 67 |
3 | 3, 3, 10, 67 |
1, 1, 10, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 1 x 10 x 67 = 36180
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 27,54,60,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,54,60,67) = 1
common factors(in case of two or more numbers have common factors) = 162
GCF(27,54,60,67) x common factors =1 x 162 = 162
LCM(27,54,60,67) = ( 27 × 54 × 60 × 67 ) / 162
LCM(27,54,60,67) = 5861160 / 162
LCM(27,54,60,67) = 36180
Lets's calculate GCF of 86,17,49,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36180/1
Therefore the LCM of Fractions 27/86,54/17,60/49,67/391 is 36180
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 86,17,49,391 . The biggest common factor number is the GCF number.
So the greatest common factor 86,17,49,391 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 27/86, 54/17, 60/49, 67/391?
Answer: LCM of Numerators as per given numbers 27/86, 54/17, 60/49, 67/391 is
LCM of Numerators i.e. for 27,54,60,67 is 36180
GCF of denominators i.e. for 86,17,49,391 is 1.
Thus, LCM of Fractions is 36180.Finally, LCM of Fractions for 27/86, 54/17, 60/49, 67/391 is 36180.