Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/954, 6651/5886 quickly i.e. 152973/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/954, 6651/5886 is 152973/18.
LCM(69/954, 6651/5886) = 152973/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/954,6651/5886
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 69,6651
Least Common Multiple of Numerators i.e. LCM of 69,6651 is 152973.
GCF of Denominators means GCF of 954,5886 as per the given fractions.
GCF of 954,5886 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,6651
3 | 69, 6651 |
23, 2217 |
∴ So the LCM of the given numbers is 3 x 23 x 2217 = 152973
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 69,6651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,6651) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,6651) x common factors =3 x 1 = 3
LCM(69,6651) = ( 69 × 6651 ) / 3
LCM(69,6651) = 458919 / 3
LCM(69,6651) = 152973
Lets's calculate GCF of 954,5886
2 | 954, 5886 |
3 | 477, 2943 |
3 | 159, 981 |
53, 327 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152973/18
Therefore the LCM of Fractions 69/954,6651/5886 is 152973/18
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 5886
List of positive integer factors of 5886 that divides 5886 without a remainder.
1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Greatest Common Factor
We found the factors 954,5886 . The biggest common factor number is the GCF number.
So the greatest common factor 954,5886 is 18.
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 69/954, 6651/5886?
Answer: LCM of Numerators as per given numbers 69/954, 6651/5886 is
LCM of Numerators i.e. for 69,6651 is 152973
GCF of denominators i.e. for 954,5886 is 18.
Thus, LCM of Fractions is 152973/18.Finally, LCM of Fractions for 69/954, 6651/5886 is 152973/18.