LCM of 418, 285, 645, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 285, 645, 860 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 418, 285, 645, 860. So, keep reading to learn more.
Given numbers are 418,285,645,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,285,645,860 is 539220.
Find LCM of 418,285,645,860 with Prime Factorization
| 2 | 418, 285, 645, 860 |
| 3 | 209, 285, 645, 430 |
| 5 | 209, 95, 215, 430 |
| 19 | 209, 19, 43, 86 |
| 43 | 11, 1, 43, 86 |
| 11, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 43 x 11 x 1 x 1 x 2 = 539220
Therefore, the lowest common multiple of 418,285,645,860 is 539220.
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.
418 x 285 x 645 x 860 = 66081411000
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
285 : 1, 3, 5, 15, 19, 57, 95, 285
645 : 1, 3, 5, 15, 43, 129, 215, 645
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,285,645,860, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
285:3x 5x 19
645:3x 5x 43
860:2x 2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 19x 43 = 122550
Therefore, the value for common factors is 122550.
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 = 66081411000/(1x122550)
LCM = 66081411000/122550
LCM = 539220
Thus, we can understand that the LCM of 418,285,645,860 is 539220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 285, 645, 860
1. What is the LCM of 418, 285, 645, 860?
Answer: LCM of 418, 285, 645, 860 is 539220.
2. How to calculate the LCM of 418, 285, 645, 860?
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 418, 285, 645, 860.
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}.