Find the LCM of 580, 272, 272, 399, 401 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 580, 272, 272, 399, 401. So, keep reading to learn more.
Given numbers are 580,272,272,399,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,272,272,399,401 is 6310360560.
Find LCM of 580,272,272,399,401 with Prime Factorization
2 | 580, 272, 272, 399, 401 |
2 | 290, 136, 136, 399, 401 |
2 | 145, 68, 68, 399, 401 |
2 | 145, 34, 34, 399, 401 |
17 | 145, 17, 17, 399, 401 |
145, 1, 1, 399, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 145 x 1 x 1 x 399 x 401 = 6310360560
Therefore, the lowest common multiple of 580,272,272,399,401 is 6310360560.
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.
580 x 272 x 272 x 399 x 401 = 6865672289280
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
399 : 1, 3, 7, 19, 21, 57, 133, 399
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,272,272,399,401, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
272:2x 2x 2x 2x 17
272:2x 2x 2x 2x 17
399:3x 7x 19
401:401
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 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 6865672289280/(1x1088)
LCM = 6865672289280/1088
LCM = 6310360560
Thus, we can understand that the LCM of 580,272,272,399,401 is 6310360560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 580, 272, 272, 399, 401?
Answer: LCM of 580, 272, 272, 399, 401 is 6310360560.
2. How to calculate the LCM of 580, 272, 272, 399, 401?
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 580, 272, 272, 399, 401.
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}.