LCM of 319, 466, 580, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 466, 580, 830 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 319, 466, 580, 830. So, keep reading to learn more.
Given numbers are 319,466,580,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,466,580,830 is 123382820.
Find LCM of 319,466,580,830 with Prime Factorization
| 2 | 319, 466, 580, 830 |
| 5 | 319, 233, 290, 415 |
| 29 | 319, 233, 58, 83 |
| 11, 233, 2, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 11 x 233 x 2 x 83 = 123382820
Therefore, the lowest common multiple of 319,466,580,830 is 123382820.
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.
319 x 466 x 580 x 830 = 71562035600
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.
319 : 1, 11, 29, 319
466 : 1, 2, 233, 466
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,466,580,830, is 1.
Now, the common factors can be found like this.
319:11x 29
466:2x 233
580:2x 2x 5x 29
830:2x 5x 83
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 29 = 580
Therefore, the value for common factors is 580.
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 = 71562035600/(1x580)
LCM = 71562035600/580
LCM = 123382820
Thus, we can understand that the LCM of 319,466,580,830 is 123382820.
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FAQs on LCM of 319, 466, 580, 830
1. What is the LCM of 319, 466, 580, 830?
Answer: LCM of 319, 466, 580, 830 is 123382820.
2. How to calculate the LCM of 319, 466, 580, 830?
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 319, 466, 580, 830.
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}.