Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/68, 94/134, 243/425 quickly i.e. 502524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/68, 94/134, 243/425 is 502524.
LCM(44/68, 94/134, 243/425) = 502524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/68,94/134,243/425
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 44,94,243
Least Common Multiple of Numerators i.e. LCM of 44,94,243 is 502524.
GCF of Denominators means GCF of 68,134,425 as per the given fractions.
GCF of 68,134,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,94,243
2 | 44, 94, 243 |
22, 47, 243 |
∴ So the LCM of the given numbers is 2 x 22 x 47 x 243 = 502524
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 44,94,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,94,243) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,94,243) x common factors =1 x 2 = 2
LCM(44,94,243) = ( 44 × 94 × 243 ) / 2
LCM(44,94,243) = 1005048 / 2
LCM(44,94,243) = 502524
Lets's calculate GCF of 68,134,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502524/1
Therefore the LCM of Fractions 44/68,94/134,243/425 is 502524
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 68,134,425 . The biggest common factor number is the GCF number.
So the greatest common factor 68,134,425 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 44/68, 94/134, 243/425?
Answer: LCM of Numerators as per given numbers 44/68, 94/134, 243/425 is
LCM of Numerators i.e. for 44,94,243 is 502524
GCF of denominators i.e. for 68,134,425 is 1.
Thus, LCM of Fractions is 502524.Finally, LCM of Fractions for 44/68, 94/134, 243/425 is 502524.