LCM of 327, 226, 801, 678, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 226, 801, 678, 414 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 327, 226, 801, 678, 414. So, keep reading to learn more.
Given numbers are 327,226,801,678,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,226,801,678,414 is 453832182.
Find LCM of 327,226,801,678,414 with Prime Factorization
| 2 | 327, 226, 801, 678, 414 |
| 3 | 327, 113, 801, 339, 207 |
| 3 | 109, 113, 267, 113, 69 |
| 113 | 109, 113, 89, 113, 23 |
| 109, 1, 89, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 113 x 109 x 1 x 89 x 1 x 23 = 453832182
Therefore, the lowest common multiple of 327,226,801,678,414 is 453832182.
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.
327 x 226 x 801 x 678 x 414 = 16615703847384
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.
327 : 1, 3, 109, 327
226 : 1, 2, 113, 226
801 : 1, 3, 9, 89, 267, 801
678 : 1, 2, 3, 6, 113, 226, 339, 678
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,226,801,678,414, is 1.
Now, the common factors can be found like this.
327:3x 109
226:2x 113
801:3x 3x 89
678:2x 3x 113
414:2x 3x 3x 23
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 3x 3x 3x 3x 113 = 36612
Therefore, the value for common factors is 36612.
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 = 16615703847384/(1x36612)
LCM = 16615703847384/36612
LCM = 453832182
Thus, we can understand that the LCM of 327,226,801,678,414 is 453832182.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 327, 226, 801, 678, 414
1. What is the LCM of 327, 226, 801, 678, 414?
Answer: LCM of 327, 226, 801, 678, 414 is 453832182.
2. How to calculate the LCM of 327, 226, 801, 678, 414?
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 327, 226, 801, 678, 414.
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}.