Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6762/581, 1985/528 quickly i.e. 13422570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6762/581, 1985/528 is 13422570.
LCM(6762/581, 1985/528) = 13422570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6762/581,1985/528
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 6762,1985
Least Common Multiple of Numerators i.e. LCM of 6762,1985 is 13422570.
GCF of Denominators means GCF of 581,528 as per the given fractions.
GCF of 581,528 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6762,1985
Given numbers has no common factors except 1. So, there LCM is their product i.e 13422570
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 6762,1985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6762,1985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6762,1985) x common factors =1 x 1 = 1
LCM(6762,1985) = ( 6762 × 1985 ) / 1
LCM(6762,1985) = 13422570 / 1
LCM(6762,1985) = 13422570
Lets's calculate GCF of 581,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13422570/1
Therefore the LCM of Fractions 6762/581,1985/528 is 13422570
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 581,528 . The biggest common factor number is the GCF number.
So the greatest common factor 581,528 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 6762/581, 1985/528?
Answer: LCM of Numerators as per given numbers 6762/581, 1985/528 is
LCM of Numerators i.e. for 6762,1985 is 13422570
GCF of denominators i.e. for 581,528 is 1.
Thus, LCM of Fractions is 13422570.Finally, LCM of Fractions for 6762/581, 1985/528 is 13422570.