LCM of 515, 722, 589, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 722, 589, 665 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 515, 722, 589, 665. So, keep reading to learn more.
Given numbers are 515,722,589,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,722,589,665 is 80687110.
Find LCM of 515,722,589,665 with Prime Factorization
| 5 | 515, 722, 589, 665 |
| 19 | 103, 722, 589, 133 |
| 103, 38, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 103 x 38 x 31 x 7 = 80687110
Therefore, the lowest common multiple of 515,722,589,665 is 80687110.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
515 x 722 x 589 x 665 = 145640233550
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
515 : 1, 5, 103, 515
722 : 1, 2, 19, 38, 361, 722
589 : 1, 19, 31, 589
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,722,589,665, is 1.
Now, the common factors can be found like this.
515:5x 103
722:2x 19x 19
589:19x 31
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 19x 19 = 1805
Therefore, the value for common factors is 1805.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 145640233550/(1x1805)
LCM = 145640233550/1805
LCM = 80687110
Thus, we can understand that the LCM of 515,722,589,665 is 80687110.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 515, 722, 589, 665
1. What is the LCM of 515, 722, 589, 665?
Answer: LCM of 515, 722, 589, 665 is 80687110.
2. How to calculate the LCM of 515, 722, 589, 665?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 515, 722, 589, 665.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.