Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/274, 30/850, 329/976 quickly i.e. 4935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/274, 30/850, 329/976 is 4935.
LCM(30/274, 30/850, 329/976) = 4935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/274,30/850,329/976
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 30,30,329
Least Common Multiple of Numerators i.e. LCM of 30,30,329 is 9870.
GCF of Denominators means GCF of 274,850,976 as per the given fractions.
GCF of 274,850,976 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,30,329
2 | 30, 30, 329 |
3 | 15, 15, 329 |
5 | 5, 5, 329 |
1, 1, 329 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 1 x 329 = 9870
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 30,30,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,30,329) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(30,30,329) x common factors =1 x 30 = 30
LCM(30,30,329) = ( 30 × 30 × 329 ) / 30
LCM(30,30,329) = 296100 / 30
LCM(30,30,329) = 9870
Lets's calculate GCF of 274,850,976
2 | 274, 850, 976 |
137, 425, 488 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9870/2
Therefore the LCM of Fractions 30/274,30/850,329/976 is 4935
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 274,850,976 . The biggest common factor number is the GCF number.
So the greatest common factor 274,850,976 is 2.
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 30/274, 30/850, 329/976?
Answer: LCM of Numerators as per given numbers 30/274, 30/850, 329/976 is
LCM of Numerators i.e. for 30,30,329 is 9870
GCF of denominators i.e. for 274,850,976 is 2.
Thus, LCM of Fractions is 4935.Finally, LCM of Fractions for 30/274, 30/850, 329/976 is 4935.