LCM of 804, 993, 162, 808, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 993, 162, 808, 788 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 804, 993, 162, 808, 788. So, keep reading to learn more.
Given numbers are 804,993,162,808,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,993,162,808,788 is 285933738312.
Find LCM of 804,993,162,808,788 with Prime Factorization
| 2 | 804, 993, 162, 808, 788 |
| 2 | 402, 993, 81, 404, 394 |
| 3 | 201, 993, 81, 202, 197 |
| 67, 331, 27, 202, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 331 x 27 x 202 x 197 = 285933738312
Therefore, the lowest common multiple of 804,993,162,808,788 is 285933738312.
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.
804 x 993 x 162 x 808 x 788 = 82348916633856
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
993 : 1, 3, 331, 993
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
808 : 1, 2, 4, 8, 101, 202, 404, 808
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,993,162,808,788, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
993:3x 331
162:2x 3x 3x 3x 3
808:2x 2x 2x 101
788:2x 2x 197
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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 82348916633856/(1x288)
LCM = 82348916633856/288
LCM = 285933738312
Thus, we can understand that the LCM of 804,993,162,808,788 is 285933738312.
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FAQs on LCM of 804, 993, 162, 808, 788
1. What is the LCM of 804, 993, 162, 808, 788?
Answer: LCM of 804, 993, 162, 808, 788 is 285933738312.
2. How to calculate the LCM of 804, 993, 162, 808, 788?
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 804, 993, 162, 808, 788.
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}.