Find the LCM of 236, 629, 493, 409 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 236, 629, 493, 409. So, keep reading to learn more.
Given numbers are 236,629,493,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,629,493,409 is 1760694284.
Find LCM of 236,629,493,409 with Prime Factorization
17 | 236, 629, 493, 409 |
236, 37, 29, 409 |
Multiply the prime numbers at the bottom and the left side.
17 x 236 x 37 x 29 x 409 = 1760694284
Therefore, the lowest common multiple of 236,629,493,409 is 1760694284.
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.
236 x 629 x 493 x 409 = 29931802828
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.
236 : 1, 2, 4, 59, 118, 236
629 : 1, 17, 37, 629
493 : 1, 17, 29, 493
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,629,493,409, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
629:17x 37
493:17x 29
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 29931802828/(1x17)
LCM = 29931802828/17
LCM = 1760694284
Thus, we can understand that the LCM of 236,629,493,409 is 1760694284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 629, 493, 409?
Answer: LCM of 236, 629, 493, 409 is 1760694284.
2. How to calculate the LCM of 236, 629, 493, 409?
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 236, 629, 493, 409.
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}.