Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 227/68, 454/79, 527/732 quickly i.e. 239258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 227/68, 454/79, 527/732 is 239258.
LCM(227/68, 454/79, 527/732) = 239258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 227/68,454/79,527/732
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 227,454,527
Least Common Multiple of Numerators i.e. LCM of 227,454,527 is 239258.
GCF of Denominators means GCF of 68,79,732 as per the given fractions.
GCF of 68,79,732 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 227,454,527
227 | 227, 454, 527 |
1, 2, 527 |
∴ So the LCM of the given numbers is 227 x 1 x 2 x 527 = 239258
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 227,454,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,454,527) = 1
common factors(in case of two or more numbers have common factors) = 227
GCF(227,454,527) x common factors =1 x 227 = 227
LCM(227,454,527) = ( 227 × 454 × 527 ) / 227
LCM(227,454,527) = 54311566 / 227
LCM(227,454,527) = 239258
Lets's calculate GCF of 68,79,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239258/1
Therefore the LCM of Fractions 227/68,454/79,527/732 is 239258
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 68,79,732 . The biggest common factor number is the GCF number.
So the greatest common factor 68,79,732 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 227/68, 454/79, 527/732?
Answer: LCM of Numerators as per given numbers 227/68, 454/79, 527/732 is
LCM of Numerators i.e. for 227,454,527 is 239258
GCF of denominators i.e. for 68,79,732 is 1.
Thus, LCM of Fractions is 239258.Finally, LCM of Fractions for 227/68, 454/79, 527/732 is 239258.