LCM of 321, 684, 217, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 684, 217, 404 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 321, 684, 217, 404. So, keep reading to learn more.
Given numbers are 321,684,217,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,684,217,404 is 1604061396.
Find LCM of 321,684,217,404 with Prime Factorization
| 2 | 321, 684, 217, 404 |
| 2 | 321, 342, 217, 202 |
| 3 | 321, 171, 217, 101 |
| 107, 57, 217, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 57 x 217 x 101 = 1604061396
Therefore, the lowest common multiple of 321,684,217,404 is 1604061396.
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.
321 x 684 x 217 x 404 = 19248736752
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.
321 : 1, 3, 107, 321
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
217 : 1, 7, 31, 217
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,684,217,404, is 1.
Now, the common factors can be found like this.
321:3x 107
684:2x 2x 3x 3x 19
217:7x 31
404:2x 2x 101
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 3 = 12
Therefore, the value for common factors is 12.
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 = 19248736752/(1x12)
LCM = 19248736752/12
LCM = 1604061396
Thus, we can understand that the LCM of 321,684,217,404 is 1604061396.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 684, 217, 404
1. What is the LCM of 321, 684, 217, 404?
Answer: LCM of 321, 684, 217, 404 is 1604061396.
2. How to calculate the LCM of 321, 684, 217, 404?
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 321, 684, 217, 404.
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}.