Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 493/71, 304/35, 122/739 quickly i.e. 9142192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 493/71, 304/35, 122/739 is 9142192.
LCM(493/71, 304/35, 122/739) = 9142192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 493/71,304/35,122/739
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 493,304,122
Least Common Multiple of Numerators i.e. LCM of 493,304,122 is 9142192.
GCF of Denominators means GCF of 71,35,739 as per the given fractions.
GCF of 71,35,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 493,304,122
2 | 493, 304, 122 |
493, 152, 61 |
∴ So the LCM of the given numbers is 2 x 493 x 152 x 61 = 9142192
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 493,304,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,304,122) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(493,304,122) x common factors =1 x 2 = 2
LCM(493,304,122) = ( 493 × 304 × 122 ) / 2
LCM(493,304,122) = 18284384 / 2
LCM(493,304,122) = 9142192
Lets's calculate GCF of 71,35,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9142192/1
Therefore the LCM of Fractions 493/71,304/35,122/739 is 9142192
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 71,35,739 . The biggest common factor number is the GCF number.
So the greatest common factor 71,35,739 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 493/71, 304/35, 122/739?
Answer: LCM of Numerators as per given numbers 493/71, 304/35, 122/739 is
LCM of Numerators i.e. for 493,304,122 is 9142192
GCF of denominators i.e. for 71,35,739 is 1.
Thus, LCM of Fractions is 9142192.Finally, LCM of Fractions for 493/71, 304/35, 122/739 is 9142192.