Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/87, 76/78, 388/344 quickly i.e. 434948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/87, 76/78, 388/344 is 434948.
LCM(59/87, 76/78, 388/344) = 434948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/87,76/78,388/344
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 59,76,388
Least Common Multiple of Numerators i.e. LCM of 59,76,388 is 434948.
GCF of Denominators means GCF of 87,78,344 as per the given fractions.
GCF of 87,78,344 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,76,388
2 | 59, 76, 388 |
2 | 59, 38, 194 |
59, 19, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 19 x 97 = 434948
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 59,76,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,76,388) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(59,76,388) x common factors =1 x 4 = 4
LCM(59,76,388) = ( 59 × 76 × 388 ) / 4
LCM(59,76,388) = 1739792 / 4
LCM(59,76,388) = 434948
Lets's calculate GCF of 87,78,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434948/1
Therefore the LCM of Fractions 59/87,76/78,388/344 is 434948
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
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 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 87,78,344 . The biggest common factor number is the GCF number.
So the greatest common factor 87,78,344 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 59/87, 76/78, 388/344?
Answer: LCM of Numerators as per given numbers 59/87, 76/78, 388/344 is
LCM of Numerators i.e. for 59,76,388 is 434948
GCF of denominators i.e. for 87,78,344 is 1.
Thus, LCM of Fractions is 434948.Finally, LCM of Fractions for 59/87, 76/78, 388/344 is 434948.