Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/569, 7727/2675 quickly i.e. 540890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/569, 7727/2675 is 540890.
LCM(70/569, 7727/2675) = 540890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/569,7727/2675
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 70,7727
Least Common Multiple of Numerators i.e. LCM of 70,7727 is 540890.
GCF of Denominators means GCF of 569,2675 as per the given fractions.
GCF of 569,2675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,7727
Given numbers has no common factors except 1. So, there LCM is their product i.e 540890
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 70,7727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,7727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,7727) x common factors =1 x 1 = 1
LCM(70,7727) = ( 70 × 7727 ) / 1
LCM(70,7727) = 540890 / 1
LCM(70,7727) = 540890
Lets's calculate GCF of 569,2675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540890/1
Therefore the LCM of Fractions 70/569,7727/2675 is 540890
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 2675
List of positive integer factors of 2675 that divides 2675 without a remainder.
1,5,25,107,535,2675
Greatest Common Factor
We found the factors 569,2675 . The biggest common factor number is the GCF number.
So the greatest common factor 569,2675 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 70/569, 7727/2675?
Answer: LCM of Numerators as per given numbers 70/569, 7727/2675 is
LCM of Numerators i.e. for 70,7727 is 540890
GCF of denominators i.e. for 569,2675 is 1.
Thus, LCM of Fractions is 540890.Finally, LCM of Fractions for 70/569, 7727/2675 is 540890.