Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 703/72, 2703/569 quickly i.e. 1900209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 703/72, 2703/569 is 1900209.
LCM(703/72, 2703/569) = 1900209
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 703/72,2703/569
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 703,2703
Least Common Multiple of Numerators i.e. LCM of 703,2703 is 1900209.
GCF of Denominators means GCF of 72,569 as per the given fractions.
GCF of 72,569 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 703,2703
Given numbers has no common factors except 1. So, there LCM is their product i.e 1900209
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 703,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,2703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,2703) x common factors =1 x 1 = 1
LCM(703,2703) = ( 703 × 2703 ) / 1
LCM(703,2703) = 1900209 / 1
LCM(703,2703) = 1900209
Lets's calculate GCF of 72,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1900209/1
Therefore the LCM of Fractions 703/72,2703/569 is 1900209
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 72,569 . The biggest common factor number is the GCF number.
So the greatest common factor 72,569 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 703/72, 2703/569?
Answer: LCM of Numerators as per given numbers 703/72, 2703/569 is
LCM of Numerators i.e. for 703,2703 is 1900209
GCF of denominators i.e. for 72,569 is 1.
Thus, LCM of Fractions is 1900209.Finally, LCM of Fractions for 703/72, 2703/569 is 1900209.