Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/309, 7170/7263 quickly i.e. 74090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/309, 7170/7263 is 74090.
LCM(93/309, 7170/7263) = 74090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/309,7170/7263
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 93,7170
Least Common Multiple of Numerators i.e. LCM of 93,7170 is 222270.
GCF of Denominators means GCF of 309,7263 as per the given fractions.
GCF of 309,7263 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7170
3 | 93, 7170 |
31, 2390 |
∴ So the LCM of the given numbers is 3 x 31 x 2390 = 222270
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 93,7170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7170) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7170) x common factors =3 x 1 = 3
LCM(93,7170) = ( 93 × 7170 ) / 3
LCM(93,7170) = 666810 / 3
LCM(93,7170) = 222270
Lets's calculate GCF of 309,7263
3 | 309, 7263 |
103, 2421 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222270/3
Therefore the LCM of Fractions 93/309,7170/7263 is 74090
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 7263
List of positive integer factors of 7263 that divides 7263 without a remainder.
1,3,9,27,269,807,2421,7263
Greatest Common Factor
We found the factors 309,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 309,7263 is 3.
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 93/309, 7170/7263?
Answer: LCM of Numerators as per given numbers 93/309, 7170/7263 is
LCM of Numerators i.e. for 93,7170 is 222270
GCF of denominators i.e. for 309,7263 is 3.
Thus, LCM of Fractions is 74090.Finally, LCM of Fractions for 93/309, 7170/7263 is 74090.