LCM of 575, 169, 612, 585, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 169, 612, 585, 460 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 575, 169, 612, 585, 460. So, keep reading to learn more.
Given numbers are 575,169,612,585,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,169,612,585,460 is 59471100.
Find LCM of 575,169,612,585,460 with Prime Factorization
| 2 | 575, 169, 612, 585, 460 |
| 2 | 575, 169, 306, 585, 230 |
| 3 | 575, 169, 153, 585, 115 |
| 3 | 575, 169, 51, 195, 115 |
| 5 | 575, 169, 17, 65, 115 |
| 13 | 23, 169, 17, 13, 115 |
| 23 | 23, 1, 17, 13, 115 |
| 1, 1, 17, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 23 x 1 x 1 x 17 x 13 x 5 = 59471100
Therefore, the lowest common multiple of 575,169,612,585,460 is 59471100.
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.
575 x 169 x 612 x 585 x 460 = 16003673010000
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.
575 : 1, 5, 23, 25, 115, 575
169 : 1, 13, 169
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,169,612,585,460, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
169:13x 13
612:2x 2x 3x 3x 17
585:3x 3x 5x 13
460:2x 2x 5x 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 3x 3x 5x 5x 13x 23 = 269100
Therefore, the value for common factors is 269100.
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 = 16003673010000/(1x269100)
LCM = 16003673010000/269100
LCM = 59471100
Thus, we can understand that the LCM of 575,169,612,585,460 is 59471100.
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FAQs on LCM of 575, 169, 612, 585, 460
1. What is the LCM of 575, 169, 612, 585, 460?
Answer: LCM of 575, 169, 612, 585, 460 is 59471100.
2. How to calculate the LCM of 575, 169, 612, 585, 460?
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 575, 169, 612, 585, 460.
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}.