LCM of 321, 416, 580, 386, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 416, 580, 386, 195 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 321, 416, 580, 386, 195. So, keep reading to learn more.
Given numbers are 321,416,580,386,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,416,580,386,195 is 3737004960.
Find LCM of 321,416,580,386,195 with Prime Factorization
| 2 | 321, 416, 580, 386, 195 |
| 2 | 321, 208, 290, 193, 195 |
| 3 | 321, 104, 145, 193, 195 |
| 5 | 107, 104, 145, 193, 65 |
| 13 | 107, 104, 29, 193, 13 |
| 107, 8, 29, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 107 x 8 x 29 x 193 x 1 = 3737004960
Therefore, the lowest common multiple of 321,416,580,386,195 is 3737004960.
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.
321 x 416 x 580 x 386 x 195 = 5829727737600
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.
321 : 1, 3, 107, 321
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
386 : 1, 2, 193, 386
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,416,580,386,195, is 1.
Now, the common factors can be found like this.
321:3x 107
416:2x 2x 2x 2x 2x 13
580:2x 2x 5x 29
386:2x 193
195:3x 5x 13
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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 5829727737600/(1x1560)
LCM = 5829727737600/1560
LCM = 3737004960
Thus, we can understand that the LCM of 321,416,580,386,195 is 3737004960.
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FAQs on LCM of 321, 416, 580, 386, 195
1. What is the LCM of 321, 416, 580, 386, 195?
Answer: LCM of 321, 416, 580, 386, 195 is 3737004960.
2. How to calculate the LCM of 321, 416, 580, 386, 195?
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 321, 416, 580, 386, 195.
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}.