Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 183/103, 6471/1042 quickly i.e. 394731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 183/103, 6471/1042 is 394731.
LCM(183/103, 6471/1042) = 394731
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 183/103,6471/1042
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 183,6471
Least Common Multiple of Numerators i.e. LCM of 183,6471 is 394731.
GCF of Denominators means GCF of 103,1042 as per the given fractions.
GCF of 103,1042 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 183,6471
3 | 183, 6471 |
61, 2157 |
∴ So the LCM of the given numbers is 3 x 61 x 2157 = 394731
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 183,6471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,6471) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,6471) x common factors =3 x 1 = 3
LCM(183,6471) = ( 183 × 6471 ) / 3
LCM(183,6471) = 1184193 / 3
LCM(183,6471) = 394731
Lets's calculate GCF of 103,1042
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394731/1
Therefore the LCM of Fractions 183/103,6471/1042 is 394731
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 1042
List of positive integer factors of 1042 that divides 1042 without a remainder.
1,2,521,1042
Greatest Common Factor
We found the factors 103,1042 . The biggest common factor number is the GCF number.
So the greatest common factor 103,1042 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 183/103, 6471/1042?
Answer: LCM of Numerators as per given numbers 183/103, 6471/1042 is
LCM of Numerators i.e. for 183,6471 is 394731
GCF of denominators i.e. for 103,1042 is 1.
Thus, LCM of Fractions is 394731.Finally, LCM of Fractions for 183/103, 6471/1042 is 394731.