Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9630/308, 1004/3506 quickly i.e. 2417130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9630/308, 1004/3506 is 2417130.
LCM(9630/308, 1004/3506) = 2417130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9630/308,1004/3506
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 9630,1004
Least Common Multiple of Numerators i.e. LCM of 9630,1004 is 4834260.
GCF of Denominators means GCF of 308,3506 as per the given fractions.
GCF of 308,3506 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9630,1004
2 | 9630, 1004 |
4815, 502 |
∴ So the LCM of the given numbers is 2 x 4815 x 502 = 4834260
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 9630,1004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9630,1004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9630,1004) x common factors =2 x 1 = 2
LCM(9630,1004) = ( 9630 × 1004 ) / 2
LCM(9630,1004) = 9668520 / 2
LCM(9630,1004) = 4834260
Lets's calculate GCF of 308,3506
2 | 308, 3506 |
154, 1753 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4834260/2
Therefore the LCM of Fractions 9630/308,1004/3506 is 2417130
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 3506
List of positive integer factors of 3506 that divides 3506 without a remainder.
1,2,1753,3506
Greatest Common Factor
We found the factors 308,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 308,3506 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 9630/308, 1004/3506?
Answer: LCM of Numerators as per given numbers 9630/308, 1004/3506 is
LCM of Numerators i.e. for 9630,1004 is 4834260
GCF of denominators i.e. for 308,3506 is 2.
Thus, LCM of Fractions is 2417130.Finally, LCM of Fractions for 9630/308, 1004/3506 is 2417130.