Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9192/628, 3403/681 quickly i.e. 31280376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9192/628, 3403/681 is 31280376.
LCM(9192/628, 3403/681) = 31280376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9192/628,3403/681
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 9192,3403
Least Common Multiple of Numerators i.e. LCM of 9192,3403 is 31280376.
GCF of Denominators means GCF of 628,681 as per the given fractions.
GCF of 628,681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9192,3403
Given numbers has no common factors except 1. So, there LCM is their product i.e 31280376
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 9192,3403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9192,3403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9192,3403) x common factors =1 x 1 = 1
LCM(9192,3403) = ( 9192 × 3403 ) / 1
LCM(9192,3403) = 31280376 / 1
LCM(9192,3403) = 31280376
Lets's calculate GCF of 628,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31280376/1
Therefore the LCM of Fractions 9192/628,3403/681 is 31280376
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 628,681 . The biggest common factor number is the GCF number.
So the greatest common factor 628,681 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 9192/628, 3403/681?
Answer: LCM of Numerators as per given numbers 9192/628, 3403/681 is
LCM of Numerators i.e. for 9192,3403 is 31280376
GCF of denominators i.e. for 628,681 is 1.
Thus, LCM of Fractions is 31280376.Finally, LCM of Fractions for 9192/628, 3403/681 is 31280376.