Given numbers are 438,193,133,405,219

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

The LCM of 438,193,133,405,219 is 1517807970.

Find LCM of 438,193,133,405,219 with Prime Factorization

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

3 x 73 x 2 x 193 x 133 x 135 x 1 = 1517807970

Therefore, the lowest common multiple of 438,193,133,405,219 is 1517807970.

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.

438 x 193 x 133 x 405 x 219 = 997199836290

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

193 : 1, 193

133 : 1, 7, 19, 133

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,193,133,405,219, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

193:193

133:7x 19

405:3x 3x 3x 3x 5

219:3x 73

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

3x 3x 73 = 657

Therefore, the value for common factors is 657.

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 = 997199836290/(1x657)

LCM = 997199836290/657

LCM = 1517807970

Thus, we can understand that the LCM of 438,193,133,405,219 is 1517807970.

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

• LCM of 220, 152, 950, 212, 351
• LCM of 515, 328, 296, 391, 376
• LCM of 384, 744, 651, 609, 173
• LCM of 417, 298, 264, 184, 546
• LCM of 191, 224, 504, 404, 820

1. What is the LCM of 438, 193, 133, 405, 219?

Answer: LCM of 438, 193, 133, 405, 219 is 1517807970.

2. How to calculate the LCM of 438, 193, 133, 405, 219?

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 438, 193, 133, 405, 219.

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}.