Given numbers are 204,228,107,353

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

The LCM of 204,228,107,353 is 146400396.

Find LCM of 204,228,107,353 with Prime Factorization

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

2 x 2 x 3 x 17 x 19 x 107 x 353 = 146400396

Therefore, the lowest common multiple of 204,228,107,353 is 146400396.

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.

204 x 228 x 107 x 353 = 1756804752

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.

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

107 : 1, 107

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,228,107,353, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

228:2x 2x 3x 19

107:107

353:353

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 = 1756804752/(1x12)

LCM = 1756804752/12

LCM = 146400396

Thus, we can understand that the LCM of 204,228,107,353 is 146400396.

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

• LCM of 429, 807, 221, 586
• LCM of 956, 482, 267, 782
• LCM of 338, 403, 199, 181
• LCM of 711, 488, 520, 318
• LCM of 360, 885, 292, 456

1. What is the LCM of 204, 228, 107, 353?

Answer: LCM of 204, 228, 107, 353 is 146400396.

2. How to calculate the LCM of 204, 228, 107, 353?

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 204, 228, 107, 353.

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}.