Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/79, 55/23, 94/80, 69/58 quickly i.e. 1426920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/79, 55/23, 94/80, 69/58 is 1426920.
LCM(40/79, 55/23, 94/80, 69/58) = 1426920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/79,55/23,94/80,69/58
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 40,55,94,69
Least Common Multiple of Numerators i.e. LCM of 40,55,94,69 is 1426920.
GCF of Denominators means GCF of 79,23,80,58 as per the given fractions.
GCF of 79,23,80,58 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,55,94,69
2 | 40, 55, 94, 69 |
5 | 20, 55, 47, 69 |
4, 11, 47, 69 |
∴ So the LCM of the given numbers is 2 x 5 x 4 x 11 x 47 x 69 = 1426920
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 40,55,94,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,55,94,69) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(40,55,94,69) x common factors =1 x 10 = 10
LCM(40,55,94,69) = ( 40 × 55 × 94 × 69 ) / 10
LCM(40,55,94,69) = 14269200 / 10
LCM(40,55,94,69) = 1426920
Lets's calculate GCF of 79,23,80,58
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1426920/1
Therefore the LCM of Fractions 40/79,55/23,94/80,69/58 is 1426920
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Greatest Common Factor
We found the factors 79,23,80,58 . The biggest common factor number is the GCF number.
So the greatest common factor 79,23,80,58 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 40/79, 55/23, 94/80, 69/58?
Answer: LCM of Numerators as per given numbers 40/79, 55/23, 94/80, 69/58 is
LCM of Numerators i.e. for 40,55,94,69 is 1426920
GCF of denominators i.e. for 79,23,80,58 is 1.
Thus, LCM of Fractions is 1426920.Finally, LCM of Fractions for 40/79, 55/23, 94/80, 69/58 is 1426920.