LCM of 433, 687, 212, 866, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 687, 212, 866, 309 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 433, 687, 212, 866, 309. So, keep reading to learn more.
Given numbers are 433,687,212,866,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,687,212,866,309 is 6495576756.
Find LCM of 433,687,212,866,309 with Prime Factorization
| 2 | 433, 687, 212, 866, 309 |
| 3 | 433, 687, 106, 433, 309 |
| 433 | 433, 229, 106, 433, 103 |
| 1, 229, 106, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 433 x 1 x 229 x 106 x 1 x 103 = 6495576756
Therefore, the lowest common multiple of 433,687,212,866,309 is 6495576756.
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.
433 x 687 x 212 x 866 x 309 = 16875508412088
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.
433 : 1, 433
687 : 1, 3, 229, 687
212 : 1, 2, 4, 53, 106, 212
866 : 1, 2, 433, 866
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,687,212,866,309, is 1.
Now, the common factors can be found like this.
433:433
687:3x 229
212:2x 2x 53
866:2x 433
309:3x 103
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 433 = 2598
Therefore, the value for common factors is 2598.
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 = 16875508412088/(1x2598)
LCM = 16875508412088/2598
LCM = 6495576756
Thus, we can understand that the LCM of 433,687,212,866,309 is 6495576756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 687, 212, 866, 309
1. What is the LCM of 433, 687, 212, 866, 309?
Answer: LCM of 433, 687, 212, 866, 309 is 6495576756.
2. How to calculate the LCM of 433, 687, 212, 866, 309?
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 433, 687, 212, 866, 309.
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}.