Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 418/227, 497/492, 361/349 quickly i.e. 3947174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 418/227, 497/492, 361/349 is 3947174.
LCM(418/227, 497/492, 361/349) = 3947174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 418/227,497/492,361/349
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 418,497,361
Least Common Multiple of Numerators i.e. LCM of 418,497,361 is 3947174.
GCF of Denominators means GCF of 227,492,349 as per the given fractions.
GCF of 227,492,349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 418,497,361
19 | 418, 497, 361 |
22, 497, 19 |
∴ So the LCM of the given numbers is 19 x 22 x 497 x 19 = 3947174
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 418,497,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,497,361) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(418,497,361) x common factors =1 x 19 = 19
LCM(418,497,361) = ( 418 × 497 × 361 ) / 19
LCM(418,497,361) = 74996306 / 19
LCM(418,497,361) = 3947174
Lets's calculate GCF of 227,492,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3947174/1
Therefore the LCM of Fractions 418/227,497/492,361/349 is 3947174
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 227,492,349 . The biggest common factor number is the GCF number.
So the greatest common factor 227,492,349 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 418/227, 497/492, 361/349?
Answer: LCM of Numerators as per given numbers 418/227, 497/492, 361/349 is
LCM of Numerators i.e. for 418,497,361 is 3947174
GCF of denominators i.e. for 227,492,349 is 1.
Thus, LCM of Fractions is 3947174.Finally, LCM of Fractions for 418/227, 497/492, 361/349 is 3947174.