LCM of 218, 445, 410, 375, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 445, 410, 375, 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 218, 445, 410, 375, 580. So, keep reading to learn more.
Given numbers are 218,445,410,375,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,445,410,375,580 is 17301733500.
Find LCM of 218,445,410,375,580 with Prime Factorization
| 2 | 218, 445, 410, 375, 580 |
| 5 | 109, 445, 205, 375, 290 |
| 109, 89, 41, 75, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 89 x 41 x 75 x 58 = 17301733500
Therefore, the lowest common multiple of 218,445,410,375,580 is 17301733500.
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.
218 x 445 x 410 x 375 x 580 = 8650866750000
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.
218 : 1, 2, 109, 218
445 : 1, 5, 89, 445
410 : 1, 2, 5, 10, 41, 82, 205, 410
375 : 1, 3, 5, 15, 25, 75, 125, 375
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 218,445,410,375,580, is 1.
Now, the common factors can be found like this.
218:2x 109
445:5x 89
410:2x 5x 41
375:3x 5x 5x 5
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 8650866750000/(1x500)
LCM = 8650866750000/500
LCM = 17301733500
Thus, we can understand that the LCM of 218,445,410,375,580 is 17301733500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 445, 410, 375, 580
1. What is the LCM of 218, 445, 410, 375, 580?
Answer: LCM of 218, 445, 410, 375, 580 is 17301733500.
2. How to calculate the LCM of 218, 445, 410, 375, 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 218, 445, 410, 375, 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}.