LCM of 329, 826, 903, 494, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 826, 903, 494, 172 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 329, 826, 903, 494, 172. So, keep reading to learn more.
Given numbers are 329,826,903,494,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,826,903,494,172 is 2473970772.
Find LCM of 329,826,903,494,172 with Prime Factorization
| 2 | 329, 826, 903, 494, 172 |
| 7 | 329, 413, 903, 247, 86 |
| 43 | 47, 59, 129, 247, 86 |
| 47, 59, 3, 247, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 47 x 59 x 3 x 247 x 2 = 2473970772
Therefore, the lowest common multiple of 329,826,903,494,172 is 2473970772.
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.
329 x 826 x 903 x 494 x 172 = 20850625666416
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.
329 : 1, 7, 47, 329
826 : 1, 2, 7, 14, 59, 118, 413, 826
903 : 1, 3, 7, 21, 43, 129, 301, 903
494 : 1, 2, 13, 19, 26, 38, 247, 494
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,826,903,494,172, is 1.
Now, the common factors can be found like this.
329:7x 47
826:2x 7x 59
903:3x 7x 43
494:2x 13x 19
172:2x 2x 43
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 7x 7x 43 = 8428
Therefore, the value for common factors is 8428.
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 = 20850625666416/(1x8428)
LCM = 20850625666416/8428
LCM = 2473970772
Thus, we can understand that the LCM of 329,826,903,494,172 is 2473970772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 329, 826, 903, 494, 172
1. What is the LCM of 329, 826, 903, 494, 172?
Answer: LCM of 329, 826, 903, 494, 172 is 2473970772.
2. How to calculate the LCM of 329, 826, 903, 494, 172?
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 329, 826, 903, 494, 172.
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}.