Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/194, 25/385, 363/622 quickly i.e. 163350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/194, 25/385, 363/622 is 163350.
LCM(54/194, 25/385, 363/622) = 163350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/194,25/385,363/622
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 54,25,363
Least Common Multiple of Numerators i.e. LCM of 54,25,363 is 163350.
GCF of Denominators means GCF of 194,385,622 as per the given fractions.
GCF of 194,385,622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,25,363
3 | 54, 25, 363 |
18, 25, 121 |
∴ So the LCM of the given numbers is 3 x 18 x 25 x 121 = 163350
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 54,25,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,25,363) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(54,25,363) x common factors =1 x 3 = 3
LCM(54,25,363) = ( 54 × 25 × 363 ) / 3
LCM(54,25,363) = 490050 / 3
LCM(54,25,363) = 163350
Lets's calculate GCF of 194,385,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163350/1
Therefore the LCM of Fractions 54/194,25/385,363/622 is 163350
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 194,385,622 . The biggest common factor number is the GCF number.
So the greatest common factor 194,385,622 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 54/194, 25/385, 363/622?
Answer: LCM of Numerators as per given numbers 54/194, 25/385, 363/622 is
LCM of Numerators i.e. for 54,25,363 is 163350
GCF of denominators i.e. for 194,385,622 is 1.
Thus, LCM of Fractions is 163350.Finally, LCM of Fractions for 54/194, 25/385, 363/622 is 163350.