Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/540, 993/938, 316/125 quickly i.e. 5961972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/540, 993/938, 316/125 is 5961972.
LCM(19/540, 993/938, 316/125) = 5961972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/540,993/938,316/125
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 19,993,316
Least Common Multiple of Numerators i.e. LCM of 19,993,316 is 5961972.
GCF of Denominators means GCF of 540,938,125 as per the given fractions.
GCF of 540,938,125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,993,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 5961972
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 19,993,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,993,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,993,316) x common factors =1 x 1 = 1
LCM(19,993,316) = ( 19 × 993 × 316 ) / 1
LCM(19,993,316) = 5961972 / 1
LCM(19,993,316) = 5961972
Lets's calculate GCF of 540,938,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5961972/1
Therefore the LCM of Fractions 19/540,993/938,316/125 is 5961972
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
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 540,938,125 . The biggest common factor number is the GCF number.
So the greatest common factor 540,938,125 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 19/540, 993/938, 316/125?
Answer: LCM of Numerators as per given numbers 19/540, 993/938, 316/125 is
LCM of Numerators i.e. for 19,993,316 is 5961972
GCF of denominators i.e. for 540,938,125 is 1.
Thus, LCM of Fractions is 5961972.Finally, LCM of Fractions for 19/540, 993/938, 316/125 is 5961972.