LCM of 348, 204, 506, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 204, 506, 638 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 348, 204, 506, 638. So, keep reading to learn more.
Given numbers are 348,204,506,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,204,506,638 is 1496748.
Find LCM of 348,204,506,638 with Prime Factorization
| 2 | 348, 204, 506, 638 |
| 2 | 174, 102, 253, 319 |
| 3 | 87, 51, 253, 319 |
| 11 | 29, 17, 253, 319 |
| 29 | 29, 17, 23, 29 |
| 1, 17, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 1 x 17 x 23 x 1 = 1496748
Therefore, the lowest common multiple of 348,204,506,638 is 1496748.
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.
348 x 204 x 506 x 638 = 22918205376
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
506 : 1, 2, 11, 22, 23, 46, 253, 506
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,204,506,638, is 2.
Now, the common factors can be found like this.
348:2x 2x 3x 29
204:2x 2x 3x 17
506:2x 11x 23
638:2x 11x 29
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 11x 29 = 7656
Therefore, the value for common factors is 7656.
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 = 22918205376/(2x7656)
LCM = 22918205376/15312
LCM = 1496748
Thus, we can understand that the LCM of 348,204,506,638 is 1496748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 348, 204, 506, 638
1. What is the LCM of 348, 204, 506, 638?
Answer: LCM of 348, 204, 506, 638 is 1496748.
2. How to calculate the LCM of 348, 204, 506, 638?
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 348, 204, 506, 638.
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}.