Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/504, 65/471, 681/457 quickly i.e. 3939585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/504, 65/471, 681/457 is 3939585.
LCM(89/504, 65/471, 681/457) = 3939585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/504,65/471,681/457
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 89,65,681
Least Common Multiple of Numerators i.e. LCM of 89,65,681 is 3939585.
GCF of Denominators means GCF of 504,471,457 as per the given fractions.
GCF of 504,471,457 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,65,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 3939585
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 89,65,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,65,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,65,681) x common factors =1 x 1 = 1
LCM(89,65,681) = ( 89 × 65 × 681 ) / 1
LCM(89,65,681) = 3939585 / 1
LCM(89,65,681) = 3939585
Lets's calculate GCF of 504,471,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3939585/1
Therefore the LCM of Fractions 89/504,65/471,681/457 is 3939585
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Greatest Common Factor
We found the factors 504,471,457 . The biggest common factor number is the GCF number.
So the greatest common factor 504,471,457 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 89/504, 65/471, 681/457?
Answer: LCM of Numerators as per given numbers 89/504, 65/471, 681/457 is
LCM of Numerators i.e. for 89,65,681 is 3939585
GCF of denominators i.e. for 504,471,457 is 1.
Thus, LCM of Fractions is 3939585.Finally, LCM of Fractions for 89/504, 65/471, 681/457 is 3939585.