LCM of 330, 371, 917, 570, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 371, 917, 570, 330 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, 371, 917, 570, 330. So, keep reading to learn more.
Given numbers are 330,371,917,570,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,371,917,570,330 is 304728270.
Find LCM of 330,371,917,570,330 with Prime Factorization
| 2 | 330, 371, 917, 570, 330 |
| 3 | 165, 371, 917, 285, 165 |
| 5 | 55, 371, 917, 95, 55 |
| 7 | 11, 371, 917, 19, 11 |
| 11 | 11, 53, 131, 19, 11 |
| 1, 53, 131, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 1 x 53 x 131 x 19 x 1 = 304728270
Therefore, the lowest common multiple of 330,371,917,570,330 is 304728270.
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 371 x 917 x 570 x 330 = 21117669111000
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
371 : 1, 7, 53, 371
917 : 1, 7, 131, 917
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,371,917,570,330, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
371:7x 53
917:7x 131
570:2x 3x 5x 19
330:2x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5x 7x 11 = 69300
Therefore, the value for common factors is 69300.
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 = 21117669111000/(1x69300)
LCM = 21117669111000/69300
LCM = 304728270
Thus, we can understand that the LCM of 330,371,917,570,330 is 304728270.
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FAQs on LCM of 330, 371, 917, 570, 330
1. What is the LCM of 330, 371, 917, 570, 330?
Answer: LCM of 330, 371, 917, 570, 330 is 304728270.
2. How to calculate the LCM of 330, 371, 917, 570, 330?
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, 371, 917, 570, 330.
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}.