LCM of 929, 321, 396, 979, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 321, 396, 979, 580 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 929, 321, 396, 979, 580. So, keep reading to learn more.
Given numbers are 929,321,396,979,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,321,396,979,580 is 507987103140.
Find LCM of 929,321,396,979,580 with Prime Factorization
| 2 | 929, 321, 396, 979, 580 |
| 2 | 929, 321, 198, 979, 290 |
| 3 | 929, 321, 99, 979, 145 |
| 11 | 929, 107, 33, 979, 145 |
| 929, 107, 3, 89, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 929 x 107 x 3 x 89 x 145 = 507987103140
Therefore, the lowest common multiple of 929,321,396,979,580 is 507987103140.
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.
929 x 321 x 396 x 979 x 580 = 67054297614480
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.
929 : 1, 929
321 : 1, 3, 107, 321
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
979 : 1, 11, 89, 979
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,321,396,979,580, is 1.
Now, the common factors can be found like this.
929:929
321:3x 107
396:2x 2x 3x 3x 11
979:11x 89
580:2x 2x 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 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 67054297614480/(1x132)
LCM = 67054297614480/132
LCM = 507987103140
Thus, we can understand that the LCM of 929,321,396,979,580 is 507987103140.
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FAQs on LCM of 929, 321, 396, 979, 580
1. What is the LCM of 929, 321, 396, 979, 580?
Answer: LCM of 929, 321, 396, 979, 580 is 507987103140.
2. How to calculate the LCM of 929, 321, 396, 979, 580?
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 929, 321, 396, 979, 580.
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}.