Given numbers are 219,483,138,408,402

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

The LCM of 219,483,138,408,402 is 321280008.

Find LCM of 219,483,138,408,402 with Prime Factorization

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

2 x 3 x 23 x 73 x 7 x 1 x 68 x 67 = 321280008

Therefore, the lowest common multiple of 219,483,138,408,402 is 321280008.

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.

219 x 483 x 138 x 408 x 402 = 2394178619616

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.

219 : 1, 3, 73, 219

483 : 1, 3, 7, 21, 23, 69, 161, 483

138 : 1, 2, 3, 6, 23, 46, 69, 138

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

402 : 1, 2, 3, 6, 67, 134, 201, 402

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,483,138,408,402, is 3.

Now, the common factors can be found like this.

219:3x 73

483:3x 7x 23

138:2x 3x 23

408:2x 2x 2x 3x 17

402:2x 3x 67

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

2x 2x 3x 3x 3x 23 = 2484

Therefore, the value for common factors is 2484.

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 = 2394178619616/(3x2484)

LCM = 2394178619616/7452

LCM = 321280008

Thus, we can understand that the LCM of 219,483,138,408,402 is 321280008.

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

• LCM of 329, 518, 687, 337, 925
• LCM of 606, 487, 474, 245, 442
• LCM of 944, 231, 272, 864, 807
• LCM of 514, 687, 498, 926, 662
• LCM of 711, 471, 149, 381, 410

1. What is the LCM of 219, 483, 138, 408, 402?

Answer: LCM of 219, 483, 138, 408, 402 is 321280008.

2. How to calculate the LCM of 219, 483, 138, 408, 402?

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 219, 483, 138, 408, 402.

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}.