Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 493/226, 739/171, 730/496 quickly i.e. 265958710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 493/226, 739/171, 730/496 is 265958710.
LCM(493/226, 739/171, 730/496) = 265958710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 493/226,739/171,730/496
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 493,739,730
Least Common Multiple of Numerators i.e. LCM of 493,739,730 is 265958710.
GCF of Denominators means GCF of 226,171,496 as per the given fractions.
GCF of 226,171,496 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 493,739,730
Given numbers has no common factors except 1. So, there LCM is their product i.e 265958710
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 493,739,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,739,730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,739,730) x common factors =1 x 1 = 1
LCM(493,739,730) = ( 493 × 739 × 730 ) / 1
LCM(493,739,730) = 265958710 / 1
LCM(493,739,730) = 265958710
Lets's calculate GCF of 226,171,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265958710/1
Therefore the LCM of Fractions 493/226,739/171,730/496 is 265958710
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 226,171,496 . The biggest common factor number is the GCF number.
So the greatest common factor 226,171,496 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 493/226, 739/171, 730/496?
Answer: LCM of Numerators as per given numbers 493/226, 739/171, 730/496 is
LCM of Numerators i.e. for 493,739,730 is 265958710
GCF of denominators i.e. for 226,171,496 is 1.
Thus, LCM of Fractions is 265958710.Finally, LCM of Fractions for 493/226, 739/171, 730/496 is 265958710.