Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8958/524, 2204/915 quickly i.e. 9871716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8958/524, 2204/915 is 9871716.
LCM(8958/524, 2204/915) = 9871716
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8958/524,2204/915
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 8958,2204
Least Common Multiple of Numerators i.e. LCM of 8958,2204 is 9871716.
GCF of Denominators means GCF of 524,915 as per the given fractions.
GCF of 524,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8958,2204
2 | 8958, 2204 |
4479, 1102 |
∴ So the LCM of the given numbers is 2 x 4479 x 1102 = 9871716
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 8958,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8958,2204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8958,2204) x common factors =2 x 1 = 2
LCM(8958,2204) = ( 8958 × 2204 ) / 2
LCM(8958,2204) = 19743432 / 2
LCM(8958,2204) = 9871716
Lets's calculate GCF of 524,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9871716/1
Therefore the LCM of Fractions 8958/524,2204/915 is 9871716
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 524,915 . The biggest common factor number is the GCF number.
So the greatest common factor 524,915 is 1.
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 8958/524, 2204/915?
Answer: LCM of Numerators as per given numbers 8958/524, 2204/915 is
LCM of Numerators i.e. for 8958,2204 is 9871716
GCF of denominators i.e. for 524,915 is 1.
Thus, LCM of Fractions is 9871716.Finally, LCM of Fractions for 8958/524, 2204/915 is 9871716.