LCM of 822, 636, 368, 990, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 636, 368, 990, 623 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 822, 636, 368, 990, 623. So, keep reading to learn more.
Given numbers are 822,636,368,990,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,636,368,990,623 is 824019522480.
Find LCM of 822,636,368,990,623 with Prime Factorization
| 2 | 822, 636, 368, 990, 623 |
| 2 | 411, 318, 184, 495, 623 |
| 3 | 411, 159, 92, 495, 623 |
| 137, 53, 92, 165, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 53 x 92 x 165 x 623 = 824019522480
Therefore, the lowest common multiple of 822,636,368,990,623 is 824019522480.
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.
822 x 636 x 368 x 990 x 623 = 118658811237120
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,636,368,990,623, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
636:2x 2x 3x 53
368:2x 2x 2x 2x 23
990:2x 3x 3x 5x 11
623:7x 89
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 118658811237120/(1x144)
LCM = 118658811237120/144
LCM = 824019522480
Thus, we can understand that the LCM of 822,636,368,990,623 is 824019522480.
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FAQs on LCM of 822, 636, 368, 990, 623
1. What is the LCM of 822, 636, 368, 990, 623?
Answer: LCM of 822, 636, 368, 990, 623 is 824019522480.
2. How to calculate the LCM of 822, 636, 368, 990, 623?
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 822, 636, 368, 990, 623.
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}.