LCM of 809, 493, 408, 951, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 493, 408, 951, 180 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 809, 493, 408, 951, 180. So, keep reading to learn more.
Given numbers are 809,493,408,951,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,493,408,951,180 is 45515278440.
Find LCM of 809,493,408,951,180 with Prime Factorization
| 2 | 809, 493, 408, 951, 180 |
| 2 | 809, 493, 204, 951, 90 |
| 3 | 809, 493, 102, 951, 45 |
| 17 | 809, 493, 34, 317, 15 |
| 809, 29, 2, 317, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 809 x 29 x 2 x 317 x 15 = 45515278440
Therefore, the lowest common multiple of 809,493,408,951,180 is 45515278440.
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.
809 x 493 x 408 x 951 x 180 = 27855350405280
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.
809 : 1, 809
493 : 1, 17, 29, 493
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
951 : 1, 3, 317, 951
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,493,408,951,180, is 1.
Now, the common factors can be found like this.
809:809
493:17x 29
408:2x 2x 2x 3x 17
951:3x 317
180:2x 2x 3x 3x 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 2x 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 27855350405280/(1x612)
LCM = 27855350405280/612
LCM = 45515278440
Thus, we can understand that the LCM of 809,493,408,951,180 is 45515278440.
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FAQs on LCM of 809, 493, 408, 951, 180
1. What is the LCM of 809, 493, 408, 951, 180?
Answer: LCM of 809, 493, 408, 951, 180 is 45515278440.
2. How to calculate the LCM of 809, 493, 408, 951, 180?
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 809, 493, 408, 951, 180.
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}.