LCM of 468, 362, 810, 926, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 362, 810, 926, 926 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 468, 362, 810, 926, 926. So, keep reading to learn more.
Given numbers are 468,362,810,926,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,362,810,926,926 is 1764891180.
Find LCM of 468,362,810,926,926 with Prime Factorization
| 2 | 468, 362, 810, 926, 926 |
| 3 | 234, 181, 405, 463, 463 |
| 3 | 78, 181, 135, 463, 463 |
| 463 | 26, 181, 45, 463, 463 |
| 26, 181, 45, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 463 x 26 x 181 x 45 x 1 x 1 = 1764891180
Therefore, the lowest common multiple of 468,362,810,926,926 is 1764891180.
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.
468 x 362 x 810 x 926 x 926 = 117668824752960
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
362 : 1, 2, 181, 362
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
926 : 1, 2, 463, 926
926 : 1, 2, 463, 926
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,362,810,926,926, is 2.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
362:2x 181
810:2x 3x 3x 3x 3x 5
926:2x 463
926:2x 463
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 463 = 33336
Therefore, the value for common factors is 33336.
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 = 117668824752960/(2x33336)
LCM = 117668824752960/66672
LCM = 1764891180
Thus, we can understand that the LCM of 468,362,810,926,926 is 1764891180.
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FAQs on LCM of 468, 362, 810, 926, 926
1. What is the LCM of 468, 362, 810, 926, 926?
Answer: LCM of 468, 362, 810, 926, 926 is 1764891180.
2. How to calculate the LCM of 468, 362, 810, 926, 926?
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 468, 362, 810, 926, 926.
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}.