Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1158/244, 8205/916 quickly i.e. 3167130/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1158/244, 8205/916 is 3167130/4.
LCM(1158/244, 8205/916) = 3167130/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1158/244,8205/916
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 1158,8205
Least Common Multiple of Numerators i.e. LCM of 1158,8205 is 3167130.
GCF of Denominators means GCF of 244,916 as per the given fractions.
GCF of 244,916 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1158,8205
3 | 1158, 8205 |
386, 2735 |
∴ So the LCM of the given numbers is 3 x 386 x 2735 = 3167130
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 1158,8205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1158,8205) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1158,8205) x common factors =3 x 1 = 3
LCM(1158,8205) = ( 1158 × 8205 ) / 3
LCM(1158,8205) = 9501390 / 3
LCM(1158,8205) = 3167130
Lets's calculate GCF of 244,916
2 | 244, 916 |
2 | 122, 458 |
61, 229 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3167130/4
Therefore the LCM of Fractions 1158/244,8205/916 is 3167130/4
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 244,916 . The biggest common factor number is the GCF number.
So the greatest common factor 244,916 is 4.
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 1158/244, 8205/916?
Answer: LCM of Numerators as per given numbers 1158/244, 8205/916 is
LCM of Numerators i.e. for 1158,8205 is 3167130
GCF of denominators i.e. for 244,916 is 4.
Thus, LCM of Fractions is 3167130/4.Finally, LCM of Fractions for 1158/244, 8205/916 is 3167130/4.