Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9556/385, 1385/1549 quickly i.e. 13235060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9556/385, 1385/1549 is 13235060.
LCM(9556/385, 1385/1549) = 13235060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9556/385,1385/1549
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 9556,1385
Least Common Multiple of Numerators i.e. LCM of 9556,1385 is 13235060.
GCF of Denominators means GCF of 385,1549 as per the given fractions.
GCF of 385,1549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9556,1385
Given numbers has no common factors except 1. So, there LCM is their product i.e 13235060
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 9556,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9556,1385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9556,1385) x common factors =1 x 1 = 1
LCM(9556,1385) = ( 9556 × 1385 ) / 1
LCM(9556,1385) = 13235060 / 1
LCM(9556,1385) = 13235060
Lets's calculate GCF of 385,1549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13235060/1
Therefore the LCM of Fractions 9556/385,1385/1549 is 13235060
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 1549
List of positive integer factors of 1549 that divides 1549 without a remainder.
1,1549
Greatest Common Factor
We found the factors 385,1549 . The biggest common factor number is the GCF number.
So the greatest common factor 385,1549 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 9556/385, 1385/1549?
Answer: LCM of Numerators as per given numbers 9556/385, 1385/1549 is
LCM of Numerators i.e. for 9556,1385 is 13235060
GCF of denominators i.e. for 385,1549 is 1.
Thus, LCM of Fractions is 13235060.Finally, LCM of Fractions for 9556/385, 1385/1549 is 13235060.