Find the LCM of 315, 145, 580, 322, 554 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 315, 145, 580, 322, 554. So, keep reading to learn more.
Given numbers are 315,145,580,322,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,145,580,322,554 is 232796340.
Find LCM of 315,145,580,322,554 with Prime Factorization
2 | 315, 145, 580, 322, 554 |
5 | 315, 145, 290, 161, 277 |
7 | 63, 29, 58, 161, 277 |
29 | 9, 29, 58, 23, 277 |
9, 1, 2, 23, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 29 x 9 x 1 x 2 x 23 x 277 = 232796340
Therefore, the lowest common multiple of 315,145,580,322,554 is 232796340.
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.
315 x 145 x 580 x 322 x 554 = 4725765702000
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
145 : 1, 5, 29, 145
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
322 : 1, 2, 7, 14, 23, 46, 161, 322
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,145,580,322,554, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
145:5x 29
580:2x 2x 5x 29
322:2x 7x 23
554:2x 277
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 5x 5x 7x 29 = 20300
Therefore, the value for common factors is 20300.
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 = 4725765702000/(1x20300)
LCM = 4725765702000/20300
LCM = 232796340
Thus, we can understand that the LCM of 315,145,580,322,554 is 232796340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 145, 580, 322, 554?
Answer: LCM of 315, 145, 580, 322, 554 is 232796340.
2. How to calculate the LCM of 315, 145, 580, 322, 554?
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 315, 145, 580, 322, 554.
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}.