LCM of 993, 507, 580, 330, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 507, 580, 330, 187 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 993, 507, 580, 330, 187. So, keep reading to learn more.
Given numbers are 993,507,580,330,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,507,580,330,187 is 18201431820.
Find LCM of 993,507,580,330,187 with Prime Factorization
| 2 | 993, 507, 580, 330, 187 |
| 3 | 993, 507, 290, 165, 187 |
| 5 | 331, 169, 290, 55, 187 |
| 11 | 331, 169, 58, 11, 187 |
| 331, 169, 58, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 331 x 169 x 58 x 1 x 17 = 18201431820
Therefore, the lowest common multiple of 993,507,580,330,187 is 18201431820.
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.
993 x 507 x 580 x 330 x 187 = 18019417501800
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.
993 : 1, 3, 331, 993
507 : 1, 3, 13, 39, 169, 507
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,507,580,330,187, is 1.
Now, the common factors can be found like this.
993:3x 331
507:3x 13x 13
580:2x 2x 5x 29
330:2x 3x 5x 11
187:11x 17
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 3x 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 18019417501800/(1x990)
LCM = 18019417501800/990
LCM = 18201431820
Thus, we can understand that the LCM of 993,507,580,330,187 is 18201431820.
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FAQs on LCM of 993, 507, 580, 330, 187
1. What is the LCM of 993, 507, 580, 330, 187?
Answer: LCM of 993, 507, 580, 330, 187 is 18201431820.
2. How to calculate the LCM of 993, 507, 580, 330, 187?
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 993, 507, 580, 330, 187.
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}.