Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/398, 47/442, 843/537 quickly i.e. 79242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/398, 47/442, 843/537 is 79242.
LCM(94/398, 47/442, 843/537) = 79242
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/398,47/442,843/537
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 94,47,843
Least Common Multiple of Numerators i.e. LCM of 94,47,843 is 79242.
GCF of Denominators means GCF of 398,442,537 as per the given fractions.
GCF of 398,442,537 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,47,843
47 | 94, 47, 843 |
2, 1, 843 |
∴ So the LCM of the given numbers is 47 x 2 x 1 x 843 = 79242
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 94,47,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,47,843) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(94,47,843) x common factors =1 x 47 = 47
LCM(94,47,843) = ( 94 × 47 × 843 ) / 47
LCM(94,47,843) = 3724374 / 47
LCM(94,47,843) = 79242
Lets's calculate GCF of 398,442,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79242/1
Therefore the LCM of Fractions 94/398,47/442,843/537 is 79242
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 398,442,537 . The biggest common factor number is the GCF number.
So the greatest common factor 398,442,537 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 94/398, 47/442, 843/537?
Answer: LCM of Numerators as per given numbers 94/398, 47/442, 843/537 is
LCM of Numerators i.e. for 94,47,843 is 79242
GCF of denominators i.e. for 398,442,537 is 1.
Thus, LCM of Fractions is 79242.Finally, LCM of Fractions for 94/398, 47/442, 843/537 is 79242.