Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 511/753, 9729/1775 quickly i.e. 4971519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 511/753, 9729/1775 is 4971519.
LCM(511/753, 9729/1775) = 4971519
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 511/753,9729/1775
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 511,9729
Least Common Multiple of Numerators i.e. LCM of 511,9729 is 4971519.
GCF of Denominators means GCF of 753,1775 as per the given fractions.
GCF of 753,1775 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 511,9729
Given numbers has no common factors except 1. So, there LCM is their product i.e 4971519
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 511,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,9729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,9729) x common factors =1 x 1 = 1
LCM(511,9729) = ( 511 × 9729 ) / 1
LCM(511,9729) = 4971519 / 1
LCM(511,9729) = 4971519
Lets's calculate GCF of 753,1775
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4971519/1
Therefore the LCM of Fractions 511/753,9729/1775 is 4971519
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 1775
List of positive integer factors of 1775 that divides 1775 without a remainder.
1,5,25,71,355,1775
Greatest Common Factor
We found the factors 753,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 753,1775 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 511/753, 9729/1775?
Answer: LCM of Numerators as per given numbers 511/753, 9729/1775 is
LCM of Numerators i.e. for 511,9729 is 4971519
GCF of denominators i.e. for 753,1775 is 1.
Thus, LCM of Fractions is 4971519.Finally, LCM of Fractions for 511/753, 9729/1775 is 4971519.