Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 626/630, 8513/306 quickly i.e. 5329138/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 626/630, 8513/306 is 5329138/18.
LCM(626/630, 8513/306) = 5329138/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 626/630,8513/306
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 626,8513
Least Common Multiple of Numerators i.e. LCM of 626,8513 is 5329138.
GCF of Denominators means GCF of 630,306 as per the given fractions.
GCF of 630,306 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 626,8513
Given numbers has no common factors except 1. So, there LCM is their product i.e 5329138
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 626,8513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,8513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,8513) x common factors =1 x 1 = 1
LCM(626,8513) = ( 626 × 8513 ) / 1
LCM(626,8513) = 5329138 / 1
LCM(626,8513) = 5329138
Lets's calculate GCF of 630,306
2 | 630, 306 |
3 | 315, 153 |
3 | 105, 51 |
35, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5329138/18
Therefore the LCM of Fractions 626/630,8513/306 is 5329138/18
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 630,306 . The biggest common factor number is the GCF number.
So the greatest common factor 630,306 is 18.
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 626/630, 8513/306?
Answer: LCM of Numerators as per given numbers 626/630, 8513/306 is
LCM of Numerators i.e. for 626,8513 is 5329138
GCF of denominators i.e. for 630,306 is 18.
Thus, LCM of Fractions is 5329138/18.Finally, LCM of Fractions for 626/630, 8513/306 is 5329138/18.