Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 479/97, 498/345 quickly i.e. 238542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 479/97, 498/345 is 238542.
LCM(479/97, 498/345) = 238542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 479/97,498/345
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 479,498
Least Common Multiple of Numerators i.e. LCM of 479,498 is 238542.
GCF of Denominators means GCF of 97,345 as per the given fractions.
GCF of 97,345 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 479,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 238542
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 479,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,498) x common factors =1 x 1 = 1
LCM(479,498) = ( 479 × 498 ) / 1
LCM(479,498) = 238542 / 1
LCM(479,498) = 238542
Lets's calculate GCF of 97,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238542/1
Therefore the LCM of Fractions 479/97,498/345 is 238542
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 97,345 . The biggest common factor number is the GCF number.
So the greatest common factor 97,345 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 479/97, 498/345?
Answer: LCM of Numerators as per given numbers 479/97, 498/345 is
LCM of Numerators i.e. for 479,498 is 238542
GCF of denominators i.e. for 97,345 is 1.
Thus, LCM of Fractions is 238542.Finally, LCM of Fractions for 479/97, 498/345 is 238542.