Given numbers are 408,147,102,204

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

The LCM of 408,147,102,204 is 19992.

Find LCM of 408,147,102,204 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 49 x 1 x 2 = 19992

Therefore, the lowest common multiple of 408,147,102,204 is 19992.

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.

408 x 147 x 102 x 204 = 1247980608

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.

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

147 : 1, 3, 7, 21, 49, 147

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,147,102,204, is 3.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

147:3x 7x 7

102:2x 3x 17

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 3x 3x 17x 17 = 20808

Therefore, the value for common factors is 20808.

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 = 1247980608/(3x20808)

LCM = 1247980608/62424

LCM = 19992

Thus, we can understand that the LCM of 408,147,102,204 is 19992.

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

• LCM of 383, 687, 141, 273
• LCM of 940, 250, 877, 704
• LCM of 849, 669, 296, 787
• LCM of 132, 581, 386, 559
• LCM of 647, 384, 916, 536

1. What is the LCM of 408, 147, 102, 204?

Answer: LCM of 408, 147, 102, 204 is 19992.

2. How to calculate the LCM of 408, 147, 102, 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 408, 147, 102, 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}.