LCM of 580, 400, 841, 914, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 400, 841, 914, 322 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, 400, 841, 914, 322. So, keep reading to learn more.
Given numbers are 580,400,841,914,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,400,841,914,322 is 24751302800.
Find LCM of 580,400,841,914,322 with Prime Factorization
| 2 | 580, 400, 841, 914, 322 |
| 2 | 290, 200, 841, 457, 161 |
| 5 | 145, 100, 841, 457, 161 |
| 29 | 29, 20, 841, 457, 161 |
| 1, 20, 29, 457, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 1 x 20 x 29 x 457 x 161 = 24751302800
Therefore, the lowest common multiple of 580,400,841,914,322 is 24751302800.
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 400 x 841 x 914 x 322 = 57423022496000
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
841 : 1, 29, 841
914 : 1, 2, 457, 914
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,400,841,914,322, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
400:2x 2x 2x 2x 5x 5
841:29x 29
914:2x 457
322:2x 7x 23
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 5x 29 = 2320
Therefore, the value for common factors is 2320.
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 = 57423022496000/(1x2320)
LCM = 57423022496000/2320
LCM = 24751302800
Thus, we can understand that the LCM of 580,400,841,914,322 is 24751302800.
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FAQs on LCM of 580, 400, 841, 914, 322
1. What is the LCM of 580, 400, 841, 914, 322?
Answer: LCM of 580, 400, 841, 914, 322 is 24751302800.
2. How to calculate the LCM of 580, 400, 841, 914, 322?
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, 400, 841, 914, 322.
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}.