LCM of 580, 667, 705, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 667, 705, 470 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, 667, 705, 470. So, keep reading to learn more.
Given numbers are 580,667,705,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,667,705,470 is 1880940.
Find LCM of 580,667,705,470 with Prime Factorization
| 2 | 580, 667, 705, 470 |
| 5 | 290, 667, 705, 235 |
| 29 | 58, 667, 141, 47 |
| 47 | 2, 23, 141, 47 |
| 2, 23, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 47 x 2 x 23 x 3 x 1 = 1880940
Therefore, the lowest common multiple of 580,667,705,470 is 1880940.
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 667 x 705 x 470 = 128186061000
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
667 : 1, 23, 29, 667
705 : 1, 3, 5, 15, 47, 141, 235, 705
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,667,705,470, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
667:23x 29
705:3x 5x 47
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 29x 47 = 68150
Therefore, the value for common factors is 68150.
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 = 128186061000/(1x68150)
LCM = 128186061000/68150
LCM = 1880940
Thus, we can understand that the LCM of 580,667,705,470 is 1880940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 580, 667, 705, 470
1. What is the LCM of 580, 667, 705, 470?
Answer: LCM of 580, 667, 705, 470 is 1880940.
2. How to calculate the LCM of 580, 667, 705, 470?
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, 667, 705, 470.
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}.