LCM of 819, 156, 637, 192, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 156, 637, 192, 862 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 819, 156, 637, 192, 862. So, keep reading to learn more.
Given numbers are 819,156,637,192,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,156,637,192,862 is 158139072.
Find LCM of 819,156,637,192,862 with Prime Factorization
| 2 | 819, 156, 637, 192, 862 |
| 2 | 819, 78, 637, 96, 431 |
| 3 | 819, 39, 637, 48, 431 |
| 7 | 273, 13, 637, 16, 431 |
| 13 | 39, 13, 91, 16, 431 |
| 3, 1, 7, 16, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 3 x 1 x 7 x 16 x 431 = 158139072
Therefore, the lowest common multiple of 819,156,637,192,862 is 158139072.
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.
819 x 156 x 637 x 192 x 862 = 13469653596672
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
637 : 1, 7, 13, 49, 91, 637
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,156,637,192,862, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
156:2x 2x 3x 13
637:7x 7x 13
192:2x 2x 2x 2x 2x 2x 3
862:2x 431
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 3x 3x 7x 13x 13 = 85176
Therefore, the value for common factors is 85176.
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 = 13469653596672/(1x85176)
LCM = 13469653596672/85176
LCM = 158139072
Thus, we can understand that the LCM of 819,156,637,192,862 is 158139072.
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FAQs on LCM of 819, 156, 637, 192, 862
1. What is the LCM of 819, 156, 637, 192, 862?
Answer: LCM of 819, 156, 637, 192, 862 is 158139072.
2. How to calculate the LCM of 819, 156, 637, 192, 862?
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 819, 156, 637, 192, 862.
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}.