LCM of 266, 684, 417, 800, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 684, 417, 800, 990 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 266, 684, 417, 800, 990. So, keep reading to learn more.
Given numbers are 266,684,417,800,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,684,417,800,990 is 1464170400.
Find LCM of 266,684,417,800,990 with Prime Factorization
| 2 | 266, 684, 417, 800, 990 |
| 2 | 133, 342, 417, 400, 495 |
| 3 | 133, 171, 417, 200, 495 |
| 3 | 133, 57, 139, 200, 165 |
| 5 | 133, 19, 139, 200, 55 |
| 19 | 133, 19, 139, 40, 11 |
| 7, 1, 139, 40, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 7 x 1 x 139 x 40 x 11 = 1464170400
Therefore, the lowest common multiple of 266,684,417,800,990 is 1464170400.
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.
266 x 684 x 417 x 800 x 990 = 60089553216000
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
417 : 1, 3, 139, 417
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,684,417,800,990, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
684:2x 2x 3x 3x 19
417:3x 139
800:2x 2x 2x 2x 2x 5x 5
990:2x 3x 3x 5x 11
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 3x 3x 5x 19 = 41040
Therefore, the value for common factors is 41040.
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 = 60089553216000/(1x41040)
LCM = 60089553216000/41040
LCM = 1464170400
Thus, we can understand that the LCM of 266,684,417,800,990 is 1464170400.
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FAQs on LCM of 266, 684, 417, 800, 990
1. What is the LCM of 266, 684, 417, 800, 990?
Answer: LCM of 266, 684, 417, 800, 990 is 1464170400.
2. How to calculate the LCM of 266, 684, 417, 800, 990?
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 266, 684, 417, 800, 990.
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}.