Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 943/64, 236/24, 938/324 quickly i.e. 26093753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 943/64, 236/24, 938/324 is 26093753.
LCM(943/64, 236/24, 938/324) = 26093753
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 943/64,236/24,938/324
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 943,236,938
Least Common Multiple of Numerators i.e. LCM of 943,236,938 is 104375012.
GCF of Denominators means GCF of 64,24,324 as per the given fractions.
GCF of 64,24,324 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 943,236,938
2 | 943, 236, 938 |
943, 118, 469 |
∴ So the LCM of the given numbers is 2 x 943 x 118 x 469 = 104375012
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 943,236,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,236,938) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(943,236,938) x common factors =1 x 2 = 2
LCM(943,236,938) = ( 943 × 236 × 938 ) / 2
LCM(943,236,938) = 208750024 / 2
LCM(943,236,938) = 104375012
Lets's calculate GCF of 64,24,324
2 | 64, 24, 324 |
2 | 32, 12, 162 |
16, 6, 81 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104375012/4
Therefore the LCM of Fractions 943/64,236/24,938/324 is 26093753
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 64,24,324 . The biggest common factor number is the GCF number.
So the greatest common factor 64,24,324 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 943/64, 236/24, 938/324?
Answer: LCM of Numerators as per given numbers 943/64, 236/24, 938/324 is
LCM of Numerators i.e. for 943,236,938 is 104375012
GCF of denominators i.e. for 64,24,324 is 4.
Thus, LCM of Fractions is 26093753.Finally, LCM of Fractions for 943/64, 236/24, 938/324 is 26093753.