Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/769, 411/88, 389/832 quickly i.e. 6075402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/769, 411/88, 389/832 is 6075402.
LCM(38/769, 411/88, 389/832) = 6075402
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/769,411/88,389/832
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 38,411,389
Least Common Multiple of Numerators i.e. LCM of 38,411,389 is 6075402.
GCF of Denominators means GCF of 769,88,832 as per the given fractions.
GCF of 769,88,832 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,411,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 6075402
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 38,411,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,411,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,411,389) x common factors =1 x 1 = 1
LCM(38,411,389) = ( 38 × 411 × 389 ) / 1
LCM(38,411,389) = 6075402 / 1
LCM(38,411,389) = 6075402
Lets's calculate GCF of 769,88,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6075402/1
Therefore the LCM of Fractions 38/769,411/88,389/832 is 6075402
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 769,88,832 . The biggest common factor number is the GCF number.
So the greatest common factor 769,88,832 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 38/769, 411/88, 389/832?
Answer: LCM of Numerators as per given numbers 38/769, 411/88, 389/832 is
LCM of Numerators i.e. for 38,411,389 is 6075402
GCF of denominators i.e. for 769,88,832 is 1.
Thus, LCM of Fractions is 6075402.Finally, LCM of Fractions for 38/769, 411/88, 389/832 is 6075402.