LCM of 213, 493, 816, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 493, 816, 328 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 213, 493, 816, 328. So, keep reading to learn more.
Given numbers are 213,493,816,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,493,816,328 is 68885904.
Find LCM of 213,493,816,328 with Prime Factorization
| 2 | 213, 493, 816, 328 |
| 2 | 213, 493, 408, 164 |
| 2 | 213, 493, 204, 82 |
| 3 | 213, 493, 102, 41 |
| 17 | 71, 493, 34, 41 |
| 71, 29, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 71 x 29 x 2 x 41 = 68885904
Therefore, the lowest common multiple of 213,493,816,328 is 68885904.
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.
213 x 493 x 816 x 328 = 28105448832
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.
213 : 1, 3, 71, 213
493 : 1, 17, 29, 493
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,493,816,328, is 1.
Now, the common factors can be found like this.
213:3x 71
493:17x 29
816:2x 2x 2x 2x 3x 17
328:2x 2x 2x 41
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 17 = 408
Therefore, the value for common factors is 408.
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 = 28105448832/(1x408)
LCM = 28105448832/408
LCM = 68885904
Thus, we can understand that the LCM of 213,493,816,328 is 68885904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 493, 816, 328
1. What is the LCM of 213, 493, 816, 328?
Answer: LCM of 213, 493, 816, 328 is 68885904.
2. How to calculate the LCM of 213, 493, 816, 328?
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 213, 493, 816, 328.
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}.