LCM of 330, 595, 237, 530, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 595, 237, 530, 209 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 330, 595, 237, 530, 209. So, keep reading to learn more.
Given numbers are 330,595,237,530,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,595,237,530,209 is 3124046310.
Find LCM of 330,595,237,530,209 with Prime Factorization
| 2 | 330, 595, 237, 530, 209 |
| 3 | 165, 595, 237, 265, 209 |
| 5 | 55, 595, 79, 265, 209 |
| 11 | 11, 119, 79, 53, 209 |
| 1, 119, 79, 53, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 119 x 79 x 53 x 19 = 3124046310
Therefore, the lowest common multiple of 330,595,237,530,209 is 3124046310.
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.
330 x 595 x 237 x 530 x 209 = 5154676411500
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
595 : 1, 5, 7, 17, 35, 85, 119, 595
237 : 1, 3, 79, 237
530 : 1, 2, 5, 10, 53, 106, 265, 530
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,595,237,530,209, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
595:5x 7x 17
237:3x 79
530:2x 5x 53
209:11x 19
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 11 = 1650
Therefore, the value for common factors is 1650.
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 = 5154676411500/(1x1650)
LCM = 5154676411500/1650
LCM = 3124046310
Thus, we can understand that the LCM of 330,595,237,530,209 is 3124046310.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 330, 595, 237, 530, 209
1. What is the LCM of 330, 595, 237, 530, 209?
Answer: LCM of 330, 595, 237, 530, 209 is 3124046310.
2. How to calculate the LCM of 330, 595, 237, 530, 209?
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 330, 595, 237, 530, 209.
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}.