Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/831, 15/589, 736/148 quickly i.e. 143520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/831, 15/589, 736/148 is 143520.
LCM(78/831, 15/589, 736/148) = 143520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/831,15/589,736/148
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 78,15,736
Least Common Multiple of Numerators i.e. LCM of 78,15,736 is 143520.
GCF of Denominators means GCF of 831,589,148 as per the given fractions.
GCF of 831,589,148 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,15,736
2 | 78, 15, 736 |
3 | 39, 15, 368 |
13, 5, 368 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 368 = 143520
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 78,15,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,15,736) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,15,736) x common factors =1 x 6 = 6
LCM(78,15,736) = ( 78 × 15 × 736 ) / 6
LCM(78,15,736) = 861120 / 6
LCM(78,15,736) = 143520
Lets's calculate GCF of 831,589,148
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143520/1
Therefore the LCM of Fractions 78/831,15/589,736/148 is 143520
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 831,589,148 . The biggest common factor number is the GCF number.
So the greatest common factor 831,589,148 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 78/831, 15/589, 736/148?
Answer: LCM of Numerators as per given numbers 78/831, 15/589, 736/148 is
LCM of Numerators i.e. for 78,15,736 is 143520
GCF of denominators i.e. for 831,589,148 is 1.
Thus, LCM of Fractions is 143520.Finally, LCM of Fractions for 78/831, 15/589, 736/148 is 143520.