Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/797, 14/435, 387/125 quickly i.e. 54180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/797, 14/435, 387/125 is 54180.
LCM(60/797, 14/435, 387/125) = 54180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/797,14/435,387/125
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 60,14,387
Least Common Multiple of Numerators i.e. LCM of 60,14,387 is 54180.
GCF of Denominators means GCF of 797,435,125 as per the given fractions.
GCF of 797,435,125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,14,387
2 | 60, 14, 387 |
3 | 30, 7, 387 |
10, 7, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 7 x 129 = 54180
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 60,14,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,14,387) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(60,14,387) x common factors =1 x 6 = 6
LCM(60,14,387) = ( 60 × 14 × 387 ) / 6
LCM(60,14,387) = 325080 / 6
LCM(60,14,387) = 54180
Lets's calculate GCF of 797,435,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54180/1
Therefore the LCM of Fractions 60/797,14/435,387/125 is 54180
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 797,435,125 . The biggest common factor number is the GCF number.
So the greatest common factor 797,435,125 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 60/797, 14/435, 387/125?
Answer: LCM of Numerators as per given numbers 60/797, 14/435, 387/125 is
LCM of Numerators i.e. for 60,14,387 is 54180
GCF of denominators i.e. for 797,435,125 is 1.
Thus, LCM of Fractions is 54180.Finally, LCM of Fractions for 60/797, 14/435, 387/125 is 54180.