Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/765, 733/692, 768/535 quickly i.e. 2814720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/765, 733/692, 768/535 is 2814720.
LCM(20/765, 733/692, 768/535) = 2814720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/765,733/692,768/535
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 20,733,768
Least Common Multiple of Numerators i.e. LCM of 20,733,768 is 2814720.
GCF of Denominators means GCF of 765,692,535 as per the given fractions.
GCF of 765,692,535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,733,768
2 | 20, 733, 768 |
2 | 10, 733, 384 |
5, 733, 192 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 733 x 192 = 2814720
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 20,733,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,733,768) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(20,733,768) x common factors =1 x 4 = 4
LCM(20,733,768) = ( 20 × 733 × 768 ) / 4
LCM(20,733,768) = 11258880 / 4
LCM(20,733,768) = 2814720
Lets's calculate GCF of 765,692,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2814720/1
Therefore the LCM of Fractions 20/765,733/692,768/535 is 2814720
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 765,692,535 . The biggest common factor number is the GCF number.
So the greatest common factor 765,692,535 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 20/765, 733/692, 768/535?
Answer: LCM of Numerators as per given numbers 20/765, 733/692, 768/535 is
LCM of Numerators i.e. for 20,733,768 is 2814720
GCF of denominators i.e. for 765,692,535 is 1.
Thus, LCM of Fractions is 2814720.Finally, LCM of Fractions for 20/765, 733/692, 768/535 is 2814720.