Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/38, 46/45, 64/17, 23/881 quickly i.e. 57408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/38, 46/45, 64/17, 23/881 is 57408.
LCM(39/38, 46/45, 64/17, 23/881) = 57408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/38,46/45,64/17,23/881
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 39,46,64,23
Least Common Multiple of Numerators i.e. LCM of 39,46,64,23 is 57408.
GCF of Denominators means GCF of 38,45,17,881 as per the given fractions.
GCF of 38,45,17,881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,46,64,23
2 | 39, 46, 64, 23 |
23 | 39, 23, 32, 23 |
39, 1, 32, 1 |
∴ So the LCM of the given numbers is 2 x 23 x 39 x 1 x 32 x 1 = 57408
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 39,46,64,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,46,64,23) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(39,46,64,23) x common factors =1 x 46 = 46
LCM(39,46,64,23) = ( 39 × 46 × 64 × 23 ) / 46
LCM(39,46,64,23) = 2640768 / 46
LCM(39,46,64,23) = 57408
Lets's calculate GCF of 38,45,17,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57408/1
Therefore the LCM of Fractions 39/38,46/45,64/17,23/881 is 57408
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 38,45,17,881 . The biggest common factor number is the GCF number.
So the greatest common factor 38,45,17,881 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 39/38, 46/45, 64/17, 23/881?
Answer: LCM of Numerators as per given numbers 39/38, 46/45, 64/17, 23/881 is
LCM of Numerators i.e. for 39,46,64,23 is 57408
GCF of denominators i.e. for 38,45,17,881 is 1.
Thus, LCM of Fractions is 57408.Finally, LCM of Fractions for 39/38, 46/45, 64/17, 23/881 is 57408.