Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 403/39, 107/54, 646/692 quickly i.e. 27856166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 403/39, 107/54, 646/692 is 27856166.
LCM(403/39, 107/54, 646/692) = 27856166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 403/39,107/54,646/692
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 403,107,646
Least Common Multiple of Numerators i.e. LCM of 403,107,646 is 27856166.
GCF of Denominators means GCF of 39,54,692 as per the given fractions.
GCF of 39,54,692 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 403,107,646
Given numbers has no common factors except 1. So, there LCM is their product i.e 27856166
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 403,107,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,107,646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,107,646) x common factors =1 x 1 = 1
LCM(403,107,646) = ( 403 × 107 × 646 ) / 1
LCM(403,107,646) = 27856166 / 1
LCM(403,107,646) = 27856166
Lets's calculate GCF of 39,54,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27856166/1
Therefore the LCM of Fractions 403/39,107/54,646/692 is 27856166
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 39,54,692 . The biggest common factor number is the GCF number.
So the greatest common factor 39,54,692 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 403/39, 107/54, 646/692?
Answer: LCM of Numerators as per given numbers 403/39, 107/54, 646/692 is
LCM of Numerators i.e. for 403,107,646 is 27856166
GCF of denominators i.e. for 39,54,692 is 1.
Thus, LCM of Fractions is 27856166.Finally, LCM of Fractions for 403/39, 107/54, 646/692 is 27856166.