Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/631, 515/684, 271/473 quickly i.e. 1814345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/631, 515/684, 271/473 is 1814345.
LCM(65/631, 515/684, 271/473) = 1814345
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/631,515/684,271/473
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 65,515,271
Least Common Multiple of Numerators i.e. LCM of 65,515,271 is 1814345.
GCF of Denominators means GCF of 631,684,473 as per the given fractions.
GCF of 631,684,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,515,271
5 | 65, 515, 271 |
13, 103, 271 |
∴ So the LCM of the given numbers is 5 x 13 x 103 x 271 = 1814345
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 65,515,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,515,271) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,515,271) x common factors =1 x 5 = 5
LCM(65,515,271) = ( 65 × 515 × 271 ) / 5
LCM(65,515,271) = 9071725 / 5
LCM(65,515,271) = 1814345
Lets's calculate GCF of 631,684,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1814345/1
Therefore the LCM of Fractions 65/631,515/684,271/473 is 1814345
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 631,684,473 . The biggest common factor number is the GCF number.
So the greatest common factor 631,684,473 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 65/631, 515/684, 271/473?
Answer: LCM of Numerators as per given numbers 65/631, 515/684, 271/473 is
LCM of Numerators i.e. for 65,515,271 is 1814345
GCF of denominators i.e. for 631,684,473 is 1.
Thus, LCM of Fractions is 1814345.Finally, LCM of Fractions for 65/631, 515/684, 271/473 is 1814345.