Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 640/283, 3453/159 quickly i.e. 2209920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 640/283, 3453/159 is 2209920.
LCM(640/283, 3453/159) = 2209920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 640/283,3453/159
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 640,3453
Least Common Multiple of Numerators i.e. LCM of 640,3453 is 2209920.
GCF of Denominators means GCF of 283,159 as per the given fractions.
GCF of 283,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 640,3453
Given numbers has no common factors except 1. So, there LCM is their product i.e 2209920
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 640,3453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,3453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,3453) x common factors =1 x 1 = 1
LCM(640,3453) = ( 640 × 3453 ) / 1
LCM(640,3453) = 2209920 / 1
LCM(640,3453) = 2209920
Lets's calculate GCF of 283,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2209920/1
Therefore the LCM of Fractions 640/283,3453/159 is 2209920
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 283,159 . The biggest common factor number is the GCF number.
So the greatest common factor 283,159 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 640/283, 3453/159?
Answer: LCM of Numerators as per given numbers 640/283, 3453/159 is
LCM of Numerators i.e. for 640,3453 is 2209920
GCF of denominators i.e. for 283,159 is 1.
Thus, LCM of Fractions is 2209920.Finally, LCM of Fractions for 640/283, 3453/159 is 2209920.