LCM of 580, 354, 815, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 354, 815, 924 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, 354, 815, 924. So, keep reading to learn more.
Given numbers are 580,354,815,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,354,815,924 is 1288485660.
Find LCM of 580,354,815,924 with Prime Factorization
| 2 | 580, 354, 815, 924 |
| 2 | 290, 177, 815, 462 |
| 3 | 145, 177, 815, 231 |
| 5 | 145, 59, 815, 77 |
| 29, 59, 163, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 59 x 163 x 77 = 1288485660
Therefore, the lowest common multiple of 580,354,815,924 is 1288485660.
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 354 x 815 x 924 = 154618279200
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
354 : 1, 2, 3, 6, 59, 118, 177, 354
815 : 1, 5, 163, 815
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,354,815,924, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
354:2x 3x 59
815:5x 163
924:2x 2x 3x 7x 11
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 5 = 120
Therefore, the value for common factors is 120.
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 = 154618279200/(1x120)
LCM = 154618279200/120
LCM = 1288485660
Thus, we can understand that the LCM of 580,354,815,924 is 1288485660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 580, 354, 815, 924
1. What is the LCM of 580, 354, 815, 924?
Answer: LCM of 580, 354, 815, 924 is 1288485660.
2. How to calculate the LCM of 580, 354, 815, 924?
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, 354, 815, 924.
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}.