Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 320/98, 301/89, 446/502 quickly i.e. 21479360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 320/98, 301/89, 446/502 is 21479360.
LCM(320/98, 301/89, 446/502) = 21479360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 320/98,301/89,446/502
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 320,301,446
Least Common Multiple of Numerators i.e. LCM of 320,301,446 is 21479360.
GCF of Denominators means GCF of 98,89,502 as per the given fractions.
GCF of 98,89,502 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 320,301,446
2 | 320, 301, 446 |
160, 301, 223 |
∴ So the LCM of the given numbers is 2 x 160 x 301 x 223 = 21479360
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 320,301,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,301,446) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(320,301,446) x common factors =1 x 2 = 2
LCM(320,301,446) = ( 320 × 301 × 446 ) / 2
LCM(320,301,446) = 42958720 / 2
LCM(320,301,446) = 21479360
Lets's calculate GCF of 98,89,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21479360/1
Therefore the LCM of Fractions 320/98,301/89,446/502 is 21479360
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 98,89,502 . The biggest common factor number is the GCF number.
So the greatest common factor 98,89,502 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 320/98, 301/89, 446/502?
Answer: LCM of Numerators as per given numbers 320/98, 301/89, 446/502 is
LCM of Numerators i.e. for 320,301,446 is 21479360
GCF of denominators i.e. for 98,89,502 is 1.
Thus, LCM of Fractions is 21479360.Finally, LCM of Fractions for 320/98, 301/89, 446/502 is 21479360.