Given numbers are 174,408,462,125,204

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

The LCM of 174,408,462,125,204 is 113883000.

Find LCM of 174,408,462,125,204 with Prime Factorization

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

2 x 2 x 3 x 17 x 29 x 1 x 77 x 125 x 2 = 113883000

Therefore, the lowest common multiple of 174,408,462,125,204 is 113883000.

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.

174 x 408 x 462 x 125 x 204 = 836356752000

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

125 : 1, 5, 25, 125

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,408,462,125,204, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

408:2x 2x 2x 3x 17

462:2x 3x 7x 11

125:5x 5x 5

204:2x 2x 3x 17

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 2x 2x 3x 3x 3x 17 = 7344

Therefore, the value for common factors is 7344.

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 = 836356752000/(1x7344)

LCM = 836356752000/7344

LCM = 113883000

Thus, we can understand that the LCM of 174,408,462,125,204 is 113883000.

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

• LCM of 481, 549, 864, 486, 468
• LCM of 420, 790, 826, 437, 310
• LCM of 821, 705, 679, 944, 260
• LCM of 448, 972, 406, 555, 167
• LCM of 877, 478, 347, 477, 250

1. What is the LCM of 174, 408, 462, 125, 204?

Answer: LCM of 174, 408, 462, 125, 204 is 113883000.

2. How to calculate the LCM of 174, 408, 462, 125, 204?

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 174, 408, 462, 125, 204.

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}.