Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/956, 66/718, 993/208 quickly i.e. 10923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/956, 66/718, 993/208 is 10923.
LCM(11/956, 66/718, 993/208) = 10923
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/956,66/718,993/208
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 11,66,993
Least Common Multiple of Numerators i.e. LCM of 11,66,993 is 21846.
GCF of Denominators means GCF of 956,718,208 as per the given fractions.
GCF of 956,718,208 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,66,993
3 | 11, 66, 993 |
11 | 11, 22, 331 |
1, 2, 331 |
∴ So the LCM of the given numbers is 3 x 11 x 1 x 2 x 331 = 21846
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 11,66,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,66,993) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(11,66,993) x common factors =1 x 33 = 33
LCM(11,66,993) = ( 11 × 66 × 993 ) / 33
LCM(11,66,993) = 720918 / 33
LCM(11,66,993) = 21846
Lets's calculate GCF of 956,718,208
2 | 956, 718, 208 |
478, 359, 104 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21846/2
Therefore the LCM of Fractions 11/956,66/718,993/208 is 10923
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 956,718,208 . The biggest common factor number is the GCF number.
So the greatest common factor 956,718,208 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 11/956, 66/718, 993/208?
Answer: LCM of Numerators as per given numbers 11/956, 66/718, 993/208 is
LCM of Numerators i.e. for 11,66,993 is 21846
GCF of denominators i.e. for 956,718,208 is 2.
Thus, LCM of Fractions is 10923.Finally, LCM of Fractions for 11/956, 66/718, 993/208 is 10923.