LCM of 205, 423, 328, 374, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 423, 328, 374, 752 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 205, 423, 328, 374, 752. So, keep reading to learn more.
Given numbers are 205,423,328,374,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,423,328,374,752 is 259451280.
Find LCM of 205,423,328,374,752 with Prime Factorization
| 2 | 205, 423, 328, 374, 752 |
| 2 | 205, 423, 164, 187, 376 |
| 2 | 205, 423, 82, 187, 188 |
| 41 | 205, 423, 41, 187, 94 |
| 47 | 5, 423, 1, 187, 94 |
| 5, 9, 1, 187, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 47 x 5 x 9 x 1 x 187 x 2 = 259451280
Therefore, the lowest common multiple of 205,423,328,374,752 is 259451280.
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.
205 x 423 x 328 x 374 x 752 = 7999401864960
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.
205 : 1, 5, 41, 205
423 : 1, 3, 9, 47, 141, 423
328 : 1, 2, 4, 8, 41, 82, 164, 328
374 : 1, 2, 11, 17, 22, 34, 187, 374
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,423,328,374,752, is 1.
Now, the common factors can be found like this.
205:5x 41
423:3x 3x 47
328:2x 2x 2x 41
374:2x 11x 17
752:2x 2x 2x 2x 47
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 2x 41x 47 = 30832
Therefore, the value for common factors is 30832.
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 = 7999401864960/(1x30832)
LCM = 7999401864960/30832
LCM = 259451280
Thus, we can understand that the LCM of 205,423,328,374,752 is 259451280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 205, 423, 328, 374, 752
1. What is the LCM of 205, 423, 328, 374, 752?
Answer: LCM of 205, 423, 328, 374, 752 is 259451280.
2. How to calculate the LCM of 205, 423, 328, 374, 752?
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 205, 423, 328, 374, 752.
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}.