Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 307/408, 4650/391 quickly i.e. 1427550/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 307/408, 4650/391 is 1427550/17.
LCM(307/408, 4650/391) = 1427550/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 307/408,4650/391
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 307,4650
Least Common Multiple of Numerators i.e. LCM of 307,4650 is 1427550.
GCF of Denominators means GCF of 408,391 as per the given fractions.
GCF of 408,391 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 307,4650
Given numbers has no common factors except 1. So, there LCM is their product i.e 1427550
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 307,4650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,4650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,4650) x common factors =1 x 1 = 1
LCM(307,4650) = ( 307 × 4650 ) / 1
LCM(307,4650) = 1427550 / 1
LCM(307,4650) = 1427550
Lets's calculate GCF of 408,391
17 | 408, 391 |
24, 23 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1427550/17
Therefore the LCM of Fractions 307/408,4650/391 is 1427550/17
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 408,391 . The biggest common factor number is the GCF number.
So the greatest common factor 408,391 is 17.
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 307/408, 4650/391?
Answer: LCM of Numerators as per given numbers 307/408, 4650/391 is
LCM of Numerators i.e. for 307,4650 is 1427550
GCF of denominators i.e. for 408,391 is 17.
Thus, LCM of Fractions is 1427550/17.Finally, LCM of Fractions for 307/408, 4650/391 is 1427550/17.