Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 630/76, 483/5230 quickly i.e. 7245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 630/76, 483/5230 is 7245.
LCM(630/76, 483/5230) = 7245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 630/76,483/5230
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 630,483
Least Common Multiple of Numerators i.e. LCM of 630,483 is 14490.
GCF of Denominators means GCF of 76,5230 as per the given fractions.
GCF of 76,5230 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 630,483
3 | 630, 483 |
7 | 210, 161 |
30, 23 |
∴ So the LCM of the given numbers is 3 x 7 x 30 x 23 = 14490
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 630,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,483) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(630,483) x common factors =21 x 1 = 21
LCM(630,483) = ( 630 × 483 ) / 21
LCM(630,483) = 304290 / 21
LCM(630,483) = 14490
Lets's calculate GCF of 76,5230
2 | 76, 5230 |
38, 2615 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14490/2
Therefore the LCM of Fractions 630/76,483/5230 is 7245
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 5230
List of positive integer factors of 5230 that divides 5230 without a remainder.
1,2,5,10,523,1046,2615,5230
Greatest Common Factor
We found the factors 76,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 76,5230 is 2.
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 630/76, 483/5230?
Answer: LCM of Numerators as per given numbers 630/76, 483/5230 is
LCM of Numerators i.e. for 630,483 is 14490
GCF of denominators i.e. for 76,5230 is 2.
Thus, LCM of Fractions is 7245.Finally, LCM of Fractions for 630/76, 483/5230 is 7245.