Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/66, 510/9509 quickly i.e. 64770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/66, 510/9509 is 64770.
LCM(127/66, 510/9509) = 64770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/66,510/9509
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 127,510
Least Common Multiple of Numerators i.e. LCM of 127,510 is 64770.
GCF of Denominators means GCF of 66,9509 as per the given fractions.
GCF of 66,9509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,510
Given numbers has no common factors except 1. So, there LCM is their product i.e 64770
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 127,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,510) x common factors =1 x 1 = 1
LCM(127,510) = ( 127 × 510 ) / 1
LCM(127,510) = 64770 / 1
LCM(127,510) = 64770
Lets's calculate GCF of 66,9509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64770/1
Therefore the LCM of Fractions 127/66,510/9509 is 64770
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 9509
List of positive integer factors of 9509 that divides 9509 without a remainder.
1,37,257,9509
Greatest Common Factor
We found the factors 66,9509 . The biggest common factor number is the GCF number.
So the greatest common factor 66,9509 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 127/66, 510/9509?
Answer: LCM of Numerators as per given numbers 127/66, 510/9509 is
LCM of Numerators i.e. for 127,510 is 64770
GCF of denominators i.e. for 66,9509 is 1.
Thus, LCM of Fractions is 64770.Finally, LCM of Fractions for 127/66, 510/9509 is 64770.