Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/78, 29/65, 14/12, 54/658 quickly i.e. 438480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/78, 29/65, 14/12, 54/658 is 438480.
LCM(80/78, 29/65, 14/12, 54/658) = 438480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/78,29/65,14/12,54/658
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 80,29,14,54
Least Common Multiple of Numerators i.e. LCM of 80,29,14,54 is 438480.
GCF of Denominators means GCF of 78,65,12,658 as per the given fractions.
GCF of 78,65,12,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,29,14,54
2 | 80, 29, 14, 54 |
40, 29, 7, 27 |
∴ So the LCM of the given numbers is 2 x 40 x 29 x 7 x 27 = 438480
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 80,29,14,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,29,14,54) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(80,29,14,54) x common factors =1 x 4 = 4
LCM(80,29,14,54) = ( 80 × 29 × 14 × 54 ) / 4
LCM(80,29,14,54) = 1753920 / 4
LCM(80,29,14,54) = 438480
Lets's calculate GCF of 78,65,12,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438480/1
Therefore the LCM of Fractions 80/78,29/65,14/12,54/658 is 438480
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 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 78,65,12,658 . The biggest common factor number is the GCF number.
So the greatest common factor 78,65,12,658 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 80/78, 29/65, 14/12, 54/658?
Answer: LCM of Numerators as per given numbers 80/78, 29/65, 14/12, 54/658 is
LCM of Numerators i.e. for 80,29,14,54 is 438480
GCF of denominators i.e. for 78,65,12,658 is 1.
Thus, LCM of Fractions is 438480.Finally, LCM of Fractions for 80/78, 29/65, 14/12, 54/658 is 438480.