Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9562/399, 9231/140 quickly i.e. 12609546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9562/399, 9231/140 is 12609546.
LCM(9562/399, 9231/140) = 12609546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9562/399,9231/140
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 9562,9231
Least Common Multiple of Numerators i.e. LCM of 9562,9231 is 88266822.
GCF of Denominators means GCF of 399,140 as per the given fractions.
GCF of 399,140 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9562,9231
Given numbers has no common factors except 1. So, there LCM is their product i.e 88266822
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 9562,9231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9562,9231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9562,9231) x common factors =1 x 1 = 1
LCM(9562,9231) = ( 9562 × 9231 ) / 1
LCM(9562,9231) = 88266822 / 1
LCM(9562,9231) = 88266822
Lets's calculate GCF of 399,140
7 | 399, 140 |
57, 20 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88266822/7
Therefore the LCM of Fractions 9562/399,9231/140 is 12609546
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 399,140 . The biggest common factor number is the GCF number.
So the greatest common factor 399,140 is 7.
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 9562/399, 9231/140?
Answer: LCM of Numerators as per given numbers 9562/399, 9231/140 is
LCM of Numerators i.e. for 9562,9231 is 88266822
GCF of denominators i.e. for 399,140 is 7.
Thus, LCM of Fractions is 12609546.Finally, LCM of Fractions for 9562/399, 9231/140 is 12609546.