Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/94, 62/401, 58/249 quickly i.e. 5394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/94, 62/401, 58/249 is 5394.
LCM(6/94, 62/401, 58/249) = 5394
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/94,62/401,58/249
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 6,62,58
Least Common Multiple of Numerators i.e. LCM of 6,62,58 is 5394.
GCF of Denominators means GCF of 94,401,249 as per the given fractions.
GCF of 94,401,249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,62,58
2 | 6, 62, 58 |
3, 31, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 29 = 5394
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 6,62,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,62,58) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,62,58) x common factors =2 x 2 = 4
LCM(6,62,58) = ( 6 × 62 × 58 ) / 4
LCM(6,62,58) = 21576 / 4
LCM(6,62,58) = 5394
Lets's calculate GCF of 94,401,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5394/1
Therefore the LCM of Fractions 6/94,62/401,58/249 is 5394
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 94,401,249 . The biggest common factor number is the GCF number.
So the greatest common factor 94,401,249 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 6/94, 62/401, 58/249?
Answer: LCM of Numerators as per given numbers 6/94, 62/401, 58/249 is
LCM of Numerators i.e. for 6,62,58 is 5394
GCF of denominators i.e. for 94,401,249 is 1.
Thus, LCM of Fractions is 5394.Finally, LCM of Fractions for 6/94, 62/401, 58/249 is 5394.