Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 221/56, 293/8425 quickly i.e. 64753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 221/56, 293/8425 is 64753.
LCM(221/56, 293/8425) = 64753
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 221/56,293/8425
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 221,293
Least Common Multiple of Numerators i.e. LCM of 221,293 is 64753.
GCF of Denominators means GCF of 56,8425 as per the given fractions.
GCF of 56,8425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 221,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 64753
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 221,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,293) x common factors =1 x 1 = 1
LCM(221,293) = ( 221 × 293 ) / 1
LCM(221,293) = 64753 / 1
LCM(221,293) = 64753
Lets's calculate GCF of 56,8425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64753/1
Therefore the LCM of Fractions 221/56,293/8425 is 64753
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 8425
List of positive integer factors of 8425 that divides 8425 without a remainder.
1,5,25,337,1685,8425
Greatest Common Factor
We found the factors 56,8425 . The biggest common factor number is the GCF number.
So the greatest common factor 56,8425 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 221/56, 293/8425?
Answer: LCM of Numerators as per given numbers 221/56, 293/8425 is
LCM of Numerators i.e. for 221,293 is 64753
GCF of denominators i.e. for 56,8425 is 1.
Thus, LCM of Fractions is 64753.Finally, LCM of Fractions for 221/56, 293/8425 is 64753.