Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 864/23, 993/31, 702/164 quickly i.e. 3717792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 864/23, 993/31, 702/164 is 3717792.
LCM(864/23, 993/31, 702/164) = 3717792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 864/23,993/31,702/164
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 864,993,702
Least Common Multiple of Numerators i.e. LCM of 864,993,702 is 3717792.
GCF of Denominators means GCF of 23,31,164 as per the given fractions.
GCF of 23,31,164 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 864,993,702
2 | 864, 993, 702 |
3 | 432, 993, 351 |
3 | 144, 331, 117 |
3 | 48, 331, 39 |
16, 331, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 16 x 331 x 13 = 3717792
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 864,993,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,993,702) = 3
common factors(in case of two or more numbers have common factors) = 54
GCF(864,993,702) x common factors =3 x 54 = 162
LCM(864,993,702) = ( 864 × 993 × 702 ) / 162
LCM(864,993,702) = 602282304 / 162
LCM(864,993,702) = 3717792
Lets's calculate GCF of 23,31,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3717792/1
Therefore the LCM of Fractions 864/23,993/31,702/164 is 3717792
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 23,31,164 . The biggest common factor number is the GCF number.
So the greatest common factor 23,31,164 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 864/23, 993/31, 702/164?
Answer: LCM of Numerators as per given numbers 864/23, 993/31, 702/164 is
LCM of Numerators i.e. for 864,993,702 is 3717792
GCF of denominators i.e. for 23,31,164 is 1.
Thus, LCM of Fractions is 3717792.Finally, LCM of Fractions for 864/23, 993/31, 702/164 is 3717792.