Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/116, 27/224, 814/221 quickly i.e. 637362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/116, 27/224, 814/221 is 637362.
LCM(29/116, 27/224, 814/221) = 637362
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/116,27/224,814/221
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 29,27,814
Least Common Multiple of Numerators i.e. LCM of 29,27,814 is 637362.
GCF of Denominators means GCF of 116,224,221 as per the given fractions.
GCF of 116,224,221 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,27,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 637362
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 29,27,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,27,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,27,814) x common factors =1 x 1 = 1
LCM(29,27,814) = ( 29 × 27 × 814 ) / 1
LCM(29,27,814) = 637362 / 1
LCM(29,27,814) = 637362
Lets's calculate GCF of 116,224,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637362/1
Therefore the LCM of Fractions 29/116,27/224,814/221 is 637362
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 116,224,221 . The biggest common factor number is the GCF number.
So the greatest common factor 116,224,221 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 29/116, 27/224, 814/221?
Answer: LCM of Numerators as per given numbers 29/116, 27/224, 814/221 is
LCM of Numerators i.e. for 29,27,814 is 637362
GCF of denominators i.e. for 116,224,221 is 1.
Thus, LCM of Fractions is 637362.Finally, LCM of Fractions for 29/116, 27/224, 814/221 is 637362.