LCM of 558, 408, 361, 899, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 408, 361, 899, 725 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 558, 408, 361, 899, 725. So, keep reading to learn more.
Given numbers are 558,408,361,899,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,408,361,899,725 is 9930893400.
Find LCM of 558,408,361,899,725 with Prime Factorization
| 2 | 558, 408, 361, 899, 725 |
| 3 | 279, 204, 361, 899, 725 |
| 29 | 93, 68, 361, 899, 725 |
| 31 | 93, 68, 361, 31, 25 |
| 3, 68, 361, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 31 x 3 x 68 x 361 x 1 x 25 = 9930893400
Therefore, the lowest common multiple of 558,408,361,899,725 is 9930893400.
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.
558 x 408 x 361 x 899 x 725 = 53567238999600
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
361 : 1, 19, 361
899 : 1, 29, 31, 899
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,408,361,899,725, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
408:2x 2x 2x 3x 17
361:19x 19
899:29x 31
725:5x 5x 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 3x 29x 31 = 5394
Therefore, the value for common factors is 5394.
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 = 53567238999600/(1x5394)
LCM = 53567238999600/5394
LCM = 9930893400
Thus, we can understand that the LCM of 558,408,361,899,725 is 9930893400.
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FAQs on LCM of 558, 408, 361, 899, 725
1. What is the LCM of 558, 408, 361, 899, 725?
Answer: LCM of 558, 408, 361, 899, 725 is 9930893400.
2. How to calculate the LCM of 558, 408, 361, 899, 725?
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 558, 408, 361, 899, 725.
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}.