Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 683/453, 1321/453 quickly i.e. 902243/453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 683/453, 1321/453 is 902243/453.
LCM(683/453, 1321/453) = 902243/453
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 683/453,1321/453
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 683,1321
Least Common Multiple of Numerators i.e. LCM of 683,1321 is 902243.
GCF of Denominators means GCF of 453,453 as per the given fractions.
GCF of 453,453 is 453 as it is the largest common factor for these numbers.
Lets's calculate LCM of 683,1321
Given numbers has no common factors except 1. So, there LCM is their product i.e 902243
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 683,1321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,1321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,1321) x common factors =1 x 1 = 1
LCM(683,1321) = ( 683 × 1321 ) / 1
LCM(683,1321) = 902243 / 1
LCM(683,1321) = 902243
Lets's calculate GCF of 453,453
3 | 453, 453 |
151 | 151, 151 |
1, 1 |
∴ So the GCF of the given numbers is 3 x 151 = 453
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 902243/453
Therefore the LCM of Fractions 683/453,1321/453 is 902243/453
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 453,453 . The biggest common factor number is the GCF number.
So the greatest common factor 453,453 is 453.
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 683/453, 1321/453?
Answer: LCM of Numerators as per given numbers 683/453, 1321/453 is
LCM of Numerators i.e. for 683,1321 is 902243
GCF of denominators i.e. for 453,453 is 453.
Thus, LCM of Fractions is 902243/453.Finally, LCM of Fractions for 683/453, 1321/453 is 902243/453.