Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 529/510, 6284/621 quickly i.e. 3324236/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 529/510, 6284/621 is 3324236/3.
LCM(529/510, 6284/621) = 3324236/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 529/510,6284/621
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 529,6284
Least Common Multiple of Numerators i.e. LCM of 529,6284 is 3324236.
GCF of Denominators means GCF of 510,621 as per the given fractions.
GCF of 510,621 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 529,6284
Given numbers has no common factors except 1. So, there LCM is their product i.e 3324236
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 529,6284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,6284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,6284) x common factors =1 x 1 = 1
LCM(529,6284) = ( 529 × 6284 ) / 1
LCM(529,6284) = 3324236 / 1
LCM(529,6284) = 3324236
Lets's calculate GCF of 510,621
3 | 510, 621 |
170, 207 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3324236/3
Therefore the LCM of Fractions 529/510,6284/621 is 3324236/3
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 510,621 . The biggest common factor number is the GCF number.
So the greatest common factor 510,621 is 3.
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 529/510, 6284/621?
Answer: LCM of Numerators as per given numbers 529/510, 6284/621 is
LCM of Numerators i.e. for 529,6284 is 3324236
GCF of denominators i.e. for 510,621 is 3.
Thus, LCM of Fractions is 3324236/3.Finally, LCM of Fractions for 529/510, 6284/621 is 3324236/3.