Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/539, 51/244, 641/682 quickly i.e. 2092224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/539, 51/244, 641/682 is 2092224.
LCM(64/539, 51/244, 641/682) = 2092224
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/539,51/244,641/682
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 64,51,641
Least Common Multiple of Numerators i.e. LCM of 64,51,641 is 2092224.
GCF of Denominators means GCF of 539,244,682 as per the given fractions.
GCF of 539,244,682 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,51,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 2092224
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 64,51,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,51,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,51,641) x common factors =1 x 1 = 1
LCM(64,51,641) = ( 64 × 51 × 641 ) / 1
LCM(64,51,641) = 2092224 / 1
LCM(64,51,641) = 2092224
Lets's calculate GCF of 539,244,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2092224/1
Therefore the LCM of Fractions 64/539,51/244,641/682 is 2092224
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 539,244,682 . The biggest common factor number is the GCF number.
So the greatest common factor 539,244,682 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 64/539, 51/244, 641/682?
Answer: LCM of Numerators as per given numbers 64/539, 51/244, 641/682 is
LCM of Numerators i.e. for 64,51,641 is 2092224
GCF of denominators i.e. for 539,244,682 is 1.
Thus, LCM of Fractions is 2092224.Finally, LCM of Fractions for 64/539, 51/244, 641/682 is 2092224.