Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/79, 146/11, 227/464 quickly i.e. 1557674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/79, 146/11, 227/464 is 1557674.
LCM(47/79, 146/11, 227/464) = 1557674
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/79,146/11,227/464
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 47,146,227
Least Common Multiple of Numerators i.e. LCM of 47,146,227 is 1557674.
GCF of Denominators means GCF of 79,11,464 as per the given fractions.
GCF of 79,11,464 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,146,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 1557674
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 47,146,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,146,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,146,227) x common factors =1 x 1 = 1
LCM(47,146,227) = ( 47 × 146 × 227 ) / 1
LCM(47,146,227) = 1557674 / 1
LCM(47,146,227) = 1557674
Lets's calculate GCF of 79,11,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1557674/1
Therefore the LCM of Fractions 47/79,146/11,227/464 is 1557674
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 79,11,464 . The biggest common factor number is the GCF number.
So the greatest common factor 79,11,464 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 47/79, 146/11, 227/464?
Answer: LCM of Numerators as per given numbers 47/79, 146/11, 227/464 is
LCM of Numerators i.e. for 47,146,227 is 1557674
GCF of denominators i.e. for 79,11,464 is 1.
Thus, LCM of Fractions is 1557674.Finally, LCM of Fractions for 47/79, 146/11, 227/464 is 1557674.