LCM of 309, 270, 515, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 270, 515, 500 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 309, 270, 515, 500. So, keep reading to learn more.
Given numbers are 309,270,515,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,270,515,500 is 1390500.
Find LCM of 309,270,515,500 with Prime Factorization
| 2 | 309, 270, 515, 500 |
| 3 | 309, 135, 515, 250 |
| 5 | 103, 45, 515, 250 |
| 103 | 103, 9, 103, 50 |
| 1, 9, 1, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 103 x 1 x 9 x 1 x 50 = 1390500
Therefore, the lowest common multiple of 309,270,515,500 is 1390500.
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.
309 x 270 x 515 x 500 = 21483225000
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.
309 : 1, 3, 103, 309
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
515 : 1, 5, 103, 515
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,270,515,500, is 1.
Now, the common factors can be found like this.
309:3x 103
270:2x 3x 3x 3x 5
515:5x 103
500:2x 2x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 103 = 15450
Therefore, the value for common factors is 15450.
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 = 21483225000/(1x15450)
LCM = 21483225000/15450
LCM = 1390500
Thus, we can understand that the LCM of 309,270,515,500 is 1390500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 270, 515, 500
1. What is the LCM of 309, 270, 515, 500?
Answer: LCM of 309, 270, 515, 500 is 1390500.
2. How to calculate the LCM of 309, 270, 515, 500?
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 309, 270, 515, 500.
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}.