Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 675/304, 7308/121 quickly i.e. 548100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 675/304, 7308/121 is 548100.
LCM(675/304, 7308/121) = 548100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 675/304,7308/121
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 675,7308
Least Common Multiple of Numerators i.e. LCM of 675,7308 is 548100.
GCF of Denominators means GCF of 304,121 as per the given fractions.
GCF of 304,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 675,7308
3 | 675, 7308 |
3 | 225, 2436 |
75, 812 |
∴ So the LCM of the given numbers is 3 x 3 x 75 x 812 = 548100
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 675,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,7308) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(675,7308) x common factors =9 x 1 = 9
LCM(675,7308) = ( 675 × 7308 ) / 9
LCM(675,7308) = 4932900 / 9
LCM(675,7308) = 548100
Lets's calculate GCF of 304,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548100/1
Therefore the LCM of Fractions 675/304,7308/121 is 548100
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 304,121 . The biggest common factor number is the GCF number.
So the greatest common factor 304,121 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 675/304, 7308/121?
Answer: LCM of Numerators as per given numbers 675/304, 7308/121 is
LCM of Numerators i.e. for 675,7308 is 548100
GCF of denominators i.e. for 304,121 is 1.
Thus, LCM of Fractions is 548100.Finally, LCM of Fractions for 675/304, 7308/121 is 548100.