Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 753/16, 592/39, 305/465 quickly i.e. 135961680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 753/16, 592/39, 305/465 is 135961680.
LCM(753/16, 592/39, 305/465) = 135961680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 753/16,592/39,305/465
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 753,592,305
Least Common Multiple of Numerators i.e. LCM of 753,592,305 is 135961680.
GCF of Denominators means GCF of 16,39,465 as per the given fractions.
GCF of 16,39,465 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 753,592,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 135961680
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 753,592,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,592,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,592,305) x common factors =1 x 1 = 1
LCM(753,592,305) = ( 753 × 592 × 305 ) / 1
LCM(753,592,305) = 135961680 / 1
LCM(753,592,305) = 135961680
Lets's calculate GCF of 16,39,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135961680/1
Therefore the LCM of Fractions 753/16,592/39,305/465 is 135961680
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 16,39,465 . The biggest common factor number is the GCF number.
So the greatest common factor 16,39,465 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 753/16, 592/39, 305/465?
Answer: LCM of Numerators as per given numbers 753/16, 592/39, 305/465 is
LCM of Numerators i.e. for 753,592,305 is 135961680
GCF of denominators i.e. for 16,39,465 is 1.
Thus, LCM of Fractions is 135961680.Finally, LCM of Fractions for 753/16, 592/39, 305/465 is 135961680.