Given numbers are 393,234,523,19

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 393,234,523,19 is 304608798.

Find LCM of 393,234,523,19 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 131 x 78 x 523 x 19 = 304608798

Therefore, the lowest common multiple of 393,234,523,19 is 304608798.

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.

393 x 234 x 523 x 19 = 913826394

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.

393 : 1, 3, 131, 393

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

523 : 1, 523

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,234,523,19, is 1.

Now, the common factors can be found like this.

393:3x 131

234:2x 3x 3x 13

523:523

19:19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 913826394/(1x3)

LCM = 913826394/3

LCM = 304608798

Thus, we can understand that the LCM of 393,234,523,19 is 304608798.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 206, 287, 800, 22
• LCM of 462, 655, 784, 98
• LCM of 761, 388, 492, 21
• LCM of 809, 180, 867, 50
• LCM of 234, 951, 529, 10

1. What is the LCM of 393, 234, 523, 19?

Answer: LCM of 393, 234, 523, 19 is 304608798.

2. How to calculate the LCM of 393, 234, 523, 19?

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 393, 234, 523, 19.

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}.