LCM of 385, 323, 814, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 323, 814, 204 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 385, 323, 814, 204. So, keep reading to learn more.
Given numbers are 385,323,814,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,323,814,204 is 55213620.
Find LCM of 385,323,814,204 with Prime Factorization
| 2 | 385, 323, 814, 204 |
| 11 | 385, 323, 407, 102 |
| 17 | 35, 323, 37, 102 |
| 35, 19, 37, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 35 x 19 x 37 x 6 = 55213620
Therefore, the lowest common multiple of 385,323,814,204 is 55213620.
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.
385 x 323 x 814 x 204 = 20649893880
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
323 : 1, 17, 19, 323
814 : 1, 2, 11, 22, 37, 74, 407, 814
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,323,814,204, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
323:17x 19
814:2x 11x 37
204:2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 20649893880/(1x374)
LCM = 20649893880/374
LCM = 55213620
Thus, we can understand that the LCM of 385,323,814,204 is 55213620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 385, 323, 814, 204
1. What is the LCM of 385, 323, 814, 204?
Answer: LCM of 385, 323, 814, 204 is 55213620.
2. How to calculate the LCM of 385, 323, 814, 204?
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 385, 323, 814, 204.
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}.