Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/830, 9720/232 quickly i.e. 325620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/830, 9720/232 is 325620.
LCM(603/830, 9720/232) = 325620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/830,9720/232
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 603,9720
Least Common Multiple of Numerators i.e. LCM of 603,9720 is 651240.
GCF of Denominators means GCF of 830,232 as per the given fractions.
GCF of 830,232 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,9720
3 | 603, 9720 |
3 | 201, 3240 |
67, 1080 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 1080 = 651240
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 603,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,9720) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(603,9720) x common factors =9 x 1 = 9
LCM(603,9720) = ( 603 × 9720 ) / 9
LCM(603,9720) = 5861160 / 9
LCM(603,9720) = 651240
Lets's calculate GCF of 830,232
2 | 830, 232 |
415, 116 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651240/2
Therefore the LCM of Fractions 603/830,9720/232 is 325620
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 830,232 . The biggest common factor number is the GCF number.
So the greatest common factor 830,232 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 603/830, 9720/232?
Answer: LCM of Numerators as per given numbers 603/830, 9720/232 is
LCM of Numerators i.e. for 603,9720 is 651240
GCF of denominators i.e. for 830,232 is 2.
Thus, LCM of Fractions is 325620.Finally, LCM of Fractions for 603/830, 9720/232 is 325620.