LCM of 606, 362, 924, 810, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 362, 924, 810, 576 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 606, 362, 924, 810, 576. So, keep reading to learn more.
Given numbers are 606,362,924,810,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,362,924,810,576 is 36485951040.
Find LCM of 606,362,924,810,576 with Prime Factorization
| 2 | 606, 362, 924, 810, 576 |
| 2 | 303, 181, 462, 405, 288 |
| 3 | 303, 181, 231, 405, 144 |
| 3 | 101, 181, 77, 135, 48 |
| 101, 181, 77, 45, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 101 x 181 x 77 x 45 x 16 = 36485951040
Therefore, the lowest common multiple of 606,362,924,810,576 is 36485951040.
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.
606 x 362 x 924 x 810 x 576 = 94571585095680
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
362 : 1, 2, 181, 362
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,362,924,810,576, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
362:2x 181
924:2x 2x 3x 7x 11
810:2x 3x 3x 3x 3x 5
576:2x 2x 2x 2x 2x 2x 3x 3
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 3 = 1296
Therefore, the value for common factors is 1296.
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 = 94571585095680/(2x1296)
LCM = 94571585095680/2592
LCM = 36485951040
Thus, we can understand that the LCM of 606,362,924,810,576 is 36485951040.
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FAQs on LCM of 606, 362, 924, 810, 576
1. What is the LCM of 606, 362, 924, 810, 576?
Answer: LCM of 606, 362, 924, 810, 576 is 36485951040.
2. How to calculate the LCM of 606, 362, 924, 810, 576?
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 606, 362, 924, 810, 576.
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}.