Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9488/630, 2133/525 quickly i.e. 20237904/105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9488/630, 2133/525 is 20237904/105.
LCM(9488/630, 2133/525) = 20237904/105
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9488/630,2133/525
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 9488,2133
Least Common Multiple of Numerators i.e. LCM of 9488,2133 is 20237904.
GCF of Denominators means GCF of 630,525 as per the given fractions.
GCF of 630,525 is 105 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9488,2133
Given numbers has no common factors except 1. So, there LCM is their product i.e 20237904
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 9488,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9488,2133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9488,2133) x common factors =1 x 1 = 1
LCM(9488,2133) = ( 9488 × 2133 ) / 1
LCM(9488,2133) = 20237904 / 1
LCM(9488,2133) = 20237904
Lets's calculate GCF of 630,525
3 | 630, 525 |
5 | 210, 175 |
7 | 42, 35 |
6, 5 |
∴ So the GCF of the given numbers is 3 x 5 x 7 = 105
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20237904/105
Therefore the LCM of Fractions 9488/630,2133/525 is 20237904/105
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 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 630,525 . The biggest common factor number is the GCF number.
So the greatest common factor 630,525 is 105.
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 9488/630, 2133/525?
Answer: LCM of Numerators as per given numbers 9488/630, 2133/525 is
LCM of Numerators i.e. for 9488,2133 is 20237904
GCF of denominators i.e. for 630,525 is 105.
Thus, LCM of Fractions is 20237904/105.Finally, LCM of Fractions for 9488/630, 2133/525 is 20237904/105.