Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/511, 701/707, 476/984 quickly i.e. 11011308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/511, 701/707, 476/984 is 11011308.
LCM(33/511, 701/707, 476/984) = 11011308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/511,701/707,476/984
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 33,701,476
Least Common Multiple of Numerators i.e. LCM of 33,701,476 is 11011308.
GCF of Denominators means GCF of 511,707,984 as per the given fractions.
GCF of 511,707,984 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,701,476
Given numbers has no common factors except 1. So, there LCM is their product i.e 11011308
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 33,701,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,701,476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,701,476) x common factors =1 x 1 = 1
LCM(33,701,476) = ( 33 × 701 × 476 ) / 1
LCM(33,701,476) = 11011308 / 1
LCM(33,701,476) = 11011308
Lets's calculate GCF of 511,707,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11011308/1
Therefore the LCM of Fractions 33/511,701/707,476/984 is 11011308
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 511,707,984 . The biggest common factor number is the GCF number.
So the greatest common factor 511,707,984 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 33/511, 701/707, 476/984?
Answer: LCM of Numerators as per given numbers 33/511, 701/707, 476/984 is
LCM of Numerators i.e. for 33,701,476 is 11011308
GCF of denominators i.e. for 511,707,984 is 1.
Thus, LCM of Fractions is 11011308.Finally, LCM of Fractions for 33/511, 701/707, 476/984 is 11011308.