Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/76, 96/79, 90/40, 81/86 quickly i.e. 12960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/76, 96/79, 90/40, 81/86 is 12960.
LCM(40/76, 96/79, 90/40, 81/86) = 12960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/76,96/79,90/40,81/86
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 40,96,90,81
Least Common Multiple of Numerators i.e. LCM of 40,96,90,81 is 12960.
GCF of Denominators means GCF of 76,79,40,86 as per the given fractions.
GCF of 76,79,40,86 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,96,90,81
2 | 40, 96, 90, 81 |
2 | 20, 48, 45, 81 |
2 | 10, 24, 45, 81 |
3 | 5, 12, 45, 81 |
3 | 5, 4, 15, 27 |
5 | 5, 4, 5, 9 |
1, 4, 1, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 4 x 1 x 9 = 12960
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 40,96,90,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,96,90,81) = 1
common factors(in case of two or more numbers have common factors) = 2160
GCF(40,96,90,81) x common factors =1 x 2160 = 2160
LCM(40,96,90,81) = ( 40 × 96 × 90 × 81 ) / 2160
LCM(40,96,90,81) = 27993600 / 2160
LCM(40,96,90,81) = 12960
Lets's calculate GCF of 76,79,40,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12960/1
Therefore the LCM of Fractions 40/76,96/79,90/40,81/86 is 12960
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 76,79,40,86 . The biggest common factor number is the GCF number.
So the greatest common factor 76,79,40,86 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 40/76, 96/79, 90/40, 81/86?
Answer: LCM of Numerators as per given numbers 40/76, 96/79, 90/40, 81/86 is
LCM of Numerators i.e. for 40,96,90,81 is 12960
GCF of denominators i.e. for 76,79,40,86 is 1.
Thus, LCM of Fractions is 12960.Finally, LCM of Fractions for 40/76, 96/79, 90/40, 81/86 is 12960.