Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 306/30, 377/646 quickly i.e. 57681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 306/30, 377/646 is 57681.
LCM(306/30, 377/646) = 57681
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 306/30,377/646
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 306,377
Least Common Multiple of Numerators i.e. LCM of 306,377 is 115362.
GCF of Denominators means GCF of 30,646 as per the given fractions.
GCF of 30,646 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 306,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 115362
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 306,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,377) x common factors =1 x 1 = 1
LCM(306,377) = ( 306 × 377 ) / 1
LCM(306,377) = 115362 / 1
LCM(306,377) = 115362
Lets's calculate GCF of 30,646
2 | 30, 646 |
15, 323 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115362/2
Therefore the LCM of Fractions 306/30,377/646 is 57681
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 30,646 . The biggest common factor number is the GCF number.
So the greatest common factor 30,646 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 306/30, 377/646?
Answer: LCM of Numerators as per given numbers 306/30, 377/646 is
LCM of Numerators i.e. for 306,377 is 115362
GCF of denominators i.e. for 30,646 is 2.
Thus, LCM of Fractions is 57681.Finally, LCM of Fractions for 306/30, 377/646 is 57681.