Given numbers are 198,467,204,430

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

The LCM of 198,467,204,430 is 675926460.

Find LCM of 198,467,204,430 with Prime Factorization

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

2 x 3 x 33 x 467 x 34 x 215 = 675926460

Therefore, the lowest common multiple of 198,467,204,430 is 675926460.

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.

198 x 467 x 204 x 430 = 8111117520

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

467 : 1, 467

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,467,204,430, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

467:467

204:2x 2x 3x 17

430:2x 5x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8111117520/(1x12)

LCM = 8111117520/12

LCM = 675926460

Thus, we can understand that the LCM of 198,467,204,430 is 675926460.

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

• LCM of 905, 390, 542, 399
• LCM of 465, 867, 628, 250
• LCM of 294, 105, 739, 612
• LCM of 226, 761, 150, 162
• LCM of 148, 339, 449, 294

1. What is the LCM of 198, 467, 204, 430?

Answer: LCM of 198, 467, 204, 430 is 675926460.

2. How to calculate the LCM of 198, 467, 204, 430?

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 198, 467, 204, 430.

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}.