LCM of 689, 348, 552, 609, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 348, 552, 609, 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 689, 348, 552, 609, 580. So, keep reading to learn more.
Given numbers are 689,348,552,609,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,348,552,609,580 is 386032920.
Find LCM of 689,348,552,609,580 with Prime Factorization
| 2 | 689, 348, 552, 609, 580 |
| 2 | 689, 174, 276, 609, 290 |
| 3 | 689, 87, 138, 609, 145 |
| 29 | 689, 29, 46, 203, 145 |
| 689, 1, 46, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 689 x 1 x 46 x 7 x 5 = 386032920
Therefore, the lowest common multiple of 689,348,552,609,580 is 386032920.
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.
689 x 348 x 552 x 609 x 580 = 46750130743680
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.
689 : 1, 13, 53, 689
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
609 : 1, 3, 7, 21, 29, 87, 203, 609
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 689,348,552,609,580, is 1.
Now, the common factors can be found like this.
689:13x 53
348:2x 2x 3x 29
552:2x 2x 2x 3x 23
609:3x 7x 29
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 2x 2x 3x 3x 29x 29 = 121104
Therefore, the value for common factors is 121104.
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 = 46750130743680/(1x121104)
LCM = 46750130743680/121104
LCM = 386032920
Thus, we can understand that the LCM of 689,348,552,609,580 is 386032920.
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FAQs on LCM of 689, 348, 552, 609, 580
1. What is the LCM of 689, 348, 552, 609, 580?
Answer: LCM of 689, 348, 552, 609, 580 is 386032920.
2. How to calculate the LCM of 689, 348, 552, 609, 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 689, 348, 552, 609, 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}.