Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 684/990, 601/430 quickly i.e. 411084/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 684/990, 601/430 is 411084/10.
LCM(684/990, 601/430) = 411084/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 684/990,601/430
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 684,601
Least Common Multiple of Numerators i.e. LCM of 684,601 is 411084.
GCF of Denominators means GCF of 990,430 as per the given fractions.
GCF of 990,430 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 684,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 411084
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 684,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,601) x common factors =1 x 1 = 1
LCM(684,601) = ( 684 × 601 ) / 1
LCM(684,601) = 411084 / 1
LCM(684,601) = 411084
Lets's calculate GCF of 990,430
2 | 990, 430 |
5 | 495, 215 |
99, 43 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411084/10
Therefore the LCM of Fractions 684/990,601/430 is 411084/10
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 990,430 . The biggest common factor number is the GCF number.
So the greatest common factor 990,430 is 10.
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 684/990, 601/430?
Answer: LCM of Numerators as per given numbers 684/990, 601/430 is
LCM of Numerators i.e. for 684,601 is 411084
GCF of denominators i.e. for 990,430 is 10.
Thus, LCM of Fractions is 411084/10.Finally, LCM of Fractions for 684/990, 601/430 is 411084/10.