Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 229/81, 662/84, 728/456 quickly i.e. 55181672/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 229/81, 662/84, 728/456 is 55181672/3.
LCM(229/81, 662/84, 728/456) = 55181672/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 229/81,662/84,728/456
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 229,662,728
Least Common Multiple of Numerators i.e. LCM of 229,662,728 is 55181672.
GCF of Denominators means GCF of 81,84,456 as per the given fractions.
GCF of 81,84,456 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 229,662,728
2 | 229, 662, 728 |
229, 331, 364 |
∴ So the LCM of the given numbers is 2 x 229 x 331 x 364 = 55181672
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 229,662,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,662,728) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(229,662,728) x common factors =1 x 2 = 2
LCM(229,662,728) = ( 229 × 662 × 728 ) / 2
LCM(229,662,728) = 110363344 / 2
LCM(229,662,728) = 55181672
Lets's calculate GCF of 81,84,456
3 | 81, 84, 456 |
27, 28, 152 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55181672/3
Therefore the LCM of Fractions 229/81,662/84,728/456 is 55181672/3
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 81,84,456 . The biggest common factor number is the GCF number.
So the greatest common factor 81,84,456 is 3.
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 229/81, 662/84, 728/456?
Answer: LCM of Numerators as per given numbers 229/81, 662/84, 728/456 is
LCM of Numerators i.e. for 229,662,728 is 55181672
GCF of denominators i.e. for 81,84,456 is 3.
Thus, LCM of Fractions is 55181672/3.Finally, LCM of Fractions for 229/81, 662/84, 728/456 is 55181672/3.