Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7067/772, 1352/3529 quickly i.e. 9554584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7067/772, 1352/3529 is 9554584.
LCM(7067/772, 1352/3529) = 9554584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7067/772,1352/3529
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 7067,1352
Least Common Multiple of Numerators i.e. LCM of 7067,1352 is 9554584.
GCF of Denominators means GCF of 772,3529 as per the given fractions.
GCF of 772,3529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7067,1352
Given numbers has no common factors except 1. So, there LCM is their product i.e 9554584
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 7067,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7067,1352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7067,1352) x common factors =1 x 1 = 1
LCM(7067,1352) = ( 7067 × 1352 ) / 1
LCM(7067,1352) = 9554584 / 1
LCM(7067,1352) = 9554584
Lets's calculate GCF of 772,3529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9554584/1
Therefore the LCM of Fractions 7067/772,1352/3529 is 9554584
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 3529
List of positive integer factors of 3529 that divides 3529 without a remainder.
1,3529
Greatest Common Factor
We found the factors 772,3529 . The biggest common factor number is the GCF number.
So the greatest common factor 772,3529 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 7067/772, 1352/3529?
Answer: LCM of Numerators as per given numbers 7067/772, 1352/3529 is
LCM of Numerators i.e. for 7067,1352 is 9554584
GCF of denominators i.e. for 772,3529 is 1.
Thus, LCM of Fractions is 9554584.Finally, LCM of Fractions for 7067/772, 1352/3529 is 9554584.