Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/936, 51/990, 409/427 quickly i.e. 792642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/936, 51/990, 409/427 is 792642.
LCM(38/936, 51/990, 409/427) = 792642
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/936,51/990,409/427
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 38,51,409
Least Common Multiple of Numerators i.e. LCM of 38,51,409 is 792642.
GCF of Denominators means GCF of 936,990,427 as per the given fractions.
GCF of 936,990,427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,51,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 792642
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 38,51,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,51,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,51,409) x common factors =1 x 1 = 1
LCM(38,51,409) = ( 38 × 51 × 409 ) / 1
LCM(38,51,409) = 792642 / 1
LCM(38,51,409) = 792642
Lets's calculate GCF of 936,990,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792642/1
Therefore the LCM of Fractions 38/936,51/990,409/427 is 792642
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 936,990,427 . The biggest common factor number is the GCF number.
So the greatest common factor 936,990,427 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 38/936, 51/990, 409/427?
Answer: LCM of Numerators as per given numbers 38/936, 51/990, 409/427 is
LCM of Numerators i.e. for 38,51,409 is 792642
GCF of denominators i.e. for 936,990,427 is 1.
Thus, LCM of Fractions is 792642.Finally, LCM of Fractions for 38/936, 51/990, 409/427 is 792642.