Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/80, 89/19, 80/91, 78/124 quickly i.e. 13050960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/80, 89/19, 80/91, 78/124 is 13050960.
LCM(47/80, 89/19, 80/91, 78/124) = 13050960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/80,89/19,80/91,78/124
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 47,89,80,78
Least Common Multiple of Numerators i.e. LCM of 47,89,80,78 is 13050960.
GCF of Denominators means GCF of 80,19,91,124 as per the given fractions.
GCF of 80,19,91,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,89,80,78
2 | 47, 89, 80, 78 |
47, 89, 40, 39 |
∴ So the LCM of the given numbers is 2 x 47 x 89 x 40 x 39 = 13050960
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 47,89,80,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,89,80,78) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,89,80,78) x common factors =1 x 2 = 2
LCM(47,89,80,78) = ( 47 × 89 × 80 × 78 ) / 2
LCM(47,89,80,78) = 26101920 / 2
LCM(47,89,80,78) = 13050960
Lets's calculate GCF of 80,19,91,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13050960/1
Therefore the LCM of Fractions 47/80,89/19,80/91,78/124 is 13050960
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 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 80,19,91,124 . The biggest common factor number is the GCF number.
So the greatest common factor 80,19,91,124 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 47/80, 89/19, 80/91, 78/124?
Answer: LCM of Numerators as per given numbers 47/80, 89/19, 80/91, 78/124 is
LCM of Numerators i.e. for 47,89,80,78 is 13050960
GCF of denominators i.e. for 80,19,91,124 is 1.
Thus, LCM of Fractions is 13050960.Finally, LCM of Fractions for 47/80, 89/19, 80/91, 78/124 is 13050960.