Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/79, 14/40, 90/78, 88/589 quickly i.e. 83160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/79, 14/40, 90/78, 88/589 is 83160.
LCM(27/79, 14/40, 90/78, 88/589) = 83160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/79,14/40,90/78,88/589
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 27,14,90,88
Least Common Multiple of Numerators i.e. LCM of 27,14,90,88 is 83160.
GCF of Denominators means GCF of 79,40,78,589 as per the given fractions.
GCF of 79,40,78,589 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,14,90,88
2 | 27, 14, 90, 88 |
3 | 27, 7, 45, 44 |
3 | 9, 7, 15, 44 |
3, 7, 5, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 5 x 44 = 83160
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 27,14,90,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,14,90,88) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(27,14,90,88) x common factors =1 x 36 = 36
LCM(27,14,90,88) = ( 27 × 14 × 90 × 88 ) / 36
LCM(27,14,90,88) = 2993760 / 36
LCM(27,14,90,88) = 83160
Lets's calculate GCF of 79,40,78,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83160/1
Therefore the LCM of Fractions 27/79,14/40,90/78,88/589 is 83160
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 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 79,40,78,589 . The biggest common factor number is the GCF number.
So the greatest common factor 79,40,78,589 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 27/79, 14/40, 90/78, 88/589?
Answer: LCM of Numerators as per given numbers 27/79, 14/40, 90/78, 88/589 is
LCM of Numerators i.e. for 27,14,90,88 is 83160
GCF of denominators i.e. for 79,40,78,589 is 1.
Thus, LCM of Fractions is 83160.Finally, LCM of Fractions for 27/79, 14/40, 90/78, 88/589 is 83160.