Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9537/258, 4684/562 quickly i.e. 22335654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9537/258, 4684/562 is 22335654.
LCM(9537/258, 4684/562) = 22335654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9537/258,4684/562
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 9537,4684
Least Common Multiple of Numerators i.e. LCM of 9537,4684 is 44671308.
GCF of Denominators means GCF of 258,562 as per the given fractions.
GCF of 258,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9537,4684
Given numbers has no common factors except 1. So, there LCM is their product i.e 44671308
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 9537,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9537,4684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9537,4684) x common factors =1 x 1 = 1
LCM(9537,4684) = ( 9537 × 4684 ) / 1
LCM(9537,4684) = 44671308 / 1
LCM(9537,4684) = 44671308
Lets's calculate GCF of 258,562
2 | 258, 562 |
129, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44671308/2
Therefore the LCM of Fractions 9537/258,4684/562 is 22335654
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 258,562 . The biggest common factor number is the GCF number.
So the greatest common factor 258,562 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 9537/258, 4684/562?
Answer: LCM of Numerators as per given numbers 9537/258, 4684/562 is
LCM of Numerators i.e. for 9537,4684 is 44671308
GCF of denominators i.e. for 258,562 is 2.
Thus, LCM of Fractions is 22335654.Finally, LCM of Fractions for 9537/258, 4684/562 is 22335654.