Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/76, 74/54, 80/13, 52/304 quickly i.e. 38480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/76, 74/54, 80/13, 52/304 is 38480.
LCM(13/76, 74/54, 80/13, 52/304) = 38480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/76,74/54,80/13,52/304
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 13,74,80,52
Least Common Multiple of Numerators i.e. LCM of 13,74,80,52 is 38480.
GCF of Denominators means GCF of 76,54,13,304 as per the given fractions.
GCF of 76,54,13,304 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,74,80,52
2 | 13, 74, 80, 52 |
2 | 13, 37, 40, 26 |
13 | 13, 37, 20, 13 |
1, 37, 20, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 37 x 20 x 1 = 38480
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 13,74,80,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,74,80,52) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(13,74,80,52) x common factors =1 x 104 = 104
LCM(13,74,80,52) = ( 13 × 74 × 80 × 52 ) / 104
LCM(13,74,80,52) = 4001920 / 104
LCM(13,74,80,52) = 38480
Lets's calculate GCF of 76,54,13,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38480/1
Therefore the LCM of Fractions 13/76,74/54,80/13,52/304 is 38480
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 76,54,13,304 . The biggest common factor number is the GCF number.
So the greatest common factor 76,54,13,304 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 13/76, 74/54, 80/13, 52/304?
Answer: LCM of Numerators as per given numbers 13/76, 74/54, 80/13, 52/304 is
LCM of Numerators i.e. for 13,74,80,52 is 38480
GCF of denominators i.e. for 76,54,13,304 is 1.
Thus, LCM of Fractions is 38480.Finally, LCM of Fractions for 13/76, 74/54, 80/13, 52/304 is 38480.