LCM of 218, 684, 873, 433, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 684, 873, 433, 433 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, 684, 873, 433, 433. So, keep reading to learn more.
Given numbers are 218,684,873,433,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,684,873,433,433 is 3131426556.
Find LCM of 218,684,873,433,433 with Prime Factorization
| 2 | 218, 684, 873, 433, 433 |
| 3 | 109, 342, 873, 433, 433 |
| 3 | 109, 114, 291, 433, 433 |
| 433 | 109, 38, 97, 433, 433 |
| 109, 38, 97, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 433 x 109 x 38 x 97 x 1 x 1 = 3131426556
Therefore, the lowest common multiple of 218,684,873,433,433 is 3131426556.
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 684 x 873 x 433 x 433 = 24406338577464
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
873 : 1, 3, 9, 97, 291, 873
433 : 1, 433
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,684,873,433,433, is 1.
Now, the common factors can be found like this.
218:2x 109
684:2x 2x 3x 3x 19
873:3x 3x 97
433:433
433:433
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 3x 433 = 7794
Therefore, the value for common factors is 7794.
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 = 24406338577464/(1x7794)
LCM = 24406338577464/7794
LCM = 3131426556
Thus, we can understand that the LCM of 218,684,873,433,433 is 3131426556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 684, 873, 433, 433
1. What is the LCM of 218, 684, 873, 433, 433?
Answer: LCM of 218, 684, 873, 433, 433 is 3131426556.
2. How to calculate the LCM of 218, 684, 873, 433, 433?
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, 684, 873, 433, 433.
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}.