Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/92, 54/96, 68/62, 69/167 quickly i.e. 126684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/92, 54/96, 68/62, 69/167 is 126684.
LCM(81/92, 54/96, 68/62, 69/167) = 126684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/92,54/96,68/62,69/167
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 81,54,68,69
Least Common Multiple of Numerators i.e. LCM of 81,54,68,69 is 126684.
GCF of Denominators means GCF of 92,96,62,167 as per the given fractions.
GCF of 92,96,62,167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,54,68,69
2 | 81, 54, 68, 69 |
3 | 81, 27, 34, 69 |
3 | 9, 27, 34, 23 |
3 | 3, 9, 34, 23 |
1, 3, 34, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 3 x 34 x 23 = 126684
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 81,54,68,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,54,68,69) = 1
common factors(in case of two or more numbers have common factors) = 162
GCF(81,54,68,69) x common factors =1 x 162 = 162
LCM(81,54,68,69) = ( 81 × 54 × 68 × 69 ) / 162
LCM(81,54,68,69) = 20522808 / 162
LCM(81,54,68,69) = 126684
Lets's calculate GCF of 92,96,62,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126684/1
Therefore the LCM of Fractions 81/92,54/96,68/62,69/167 is 126684
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 92,96,62,167 . The biggest common factor number is the GCF number.
So the greatest common factor 92,96,62,167 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 81/92, 54/96, 68/62, 69/167?
Answer: LCM of Numerators as per given numbers 81/92, 54/96, 68/62, 69/167 is
LCM of Numerators i.e. for 81,54,68,69 is 126684
GCF of denominators i.e. for 92,96,62,167 is 1.
Thus, LCM of Fractions is 126684.Finally, LCM of Fractions for 81/92, 54/96, 68/62, 69/167 is 126684.