Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/373, 141/494, 903/426 quickly i.e. 84882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/373, 141/494, 903/426 is 84882.
LCM(94/373, 141/494, 903/426) = 84882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/373,141/494,903/426
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 94,141,903
Least Common Multiple of Numerators i.e. LCM of 94,141,903 is 84882.
GCF of Denominators means GCF of 373,494,426 as per the given fractions.
GCF of 373,494,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,141,903
3 | 94, 141, 903 |
47 | 94, 47, 301 |
2, 1, 301 |
∴ So the LCM of the given numbers is 3 x 47 x 2 x 1 x 301 = 84882
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 94,141,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,141,903) = 1
common factors(in case of two or more numbers have common factors) = 141
GCF(94,141,903) x common factors =1 x 141 = 141
LCM(94,141,903) = ( 94 × 141 × 903 ) / 141
LCM(94,141,903) = 11968362 / 141
LCM(94,141,903) = 84882
Lets's calculate GCF of 373,494,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84882/1
Therefore the LCM of Fractions 94/373,141/494,903/426 is 84882
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 373,494,426 . The biggest common factor number is the GCF number.
So the greatest common factor 373,494,426 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 94/373, 141/494, 903/426?
Answer: LCM of Numerators as per given numbers 94/373, 141/494, 903/426 is
LCM of Numerators i.e. for 94,141,903 is 84882
GCF of denominators i.e. for 373,494,426 is 1.
Thus, LCM of Fractions is 84882.Finally, LCM of Fractions for 94/373, 141/494, 903/426 is 84882.