Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/300, 11/781, 373/875 quickly i.e. 160017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/300, 11/781, 373/875 is 160017.
LCM(39/300, 11/781, 373/875) = 160017
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/300,11/781,373/875
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 39,11,373
Least Common Multiple of Numerators i.e. LCM of 39,11,373 is 160017.
GCF of Denominators means GCF of 300,781,875 as per the given fractions.
GCF of 300,781,875 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,11,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 160017
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 39,11,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,11,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,11,373) x common factors =1 x 1 = 1
LCM(39,11,373) = ( 39 × 11 × 373 ) / 1
LCM(39,11,373) = 160017 / 1
LCM(39,11,373) = 160017
Lets's calculate GCF of 300,781,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160017/1
Therefore the LCM of Fractions 39/300,11/781,373/875 is 160017
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 300,781,875 . The biggest common factor number is the GCF number.
So the greatest common factor 300,781,875 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 39/300, 11/781, 373/875?
Answer: LCM of Numerators as per given numbers 39/300, 11/781, 373/875 is
LCM of Numerators i.e. for 39,11,373 is 160017
GCF of denominators i.e. for 300,781,875 is 1.
Thus, LCM of Fractions is 160017.Finally, LCM of Fractions for 39/300, 11/781, 373/875 is 160017.