Given numbers are 489,804,924,204

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

The LCM of 489,804,924,204 is 171547068.

Find LCM of 489,804,924,204 with Prime Factorization

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

2 x 2 x 3 x 163 x 67 x 77 x 17 = 171547068

Therefore, the lowest common multiple of 489,804,924,204 is 171547068.

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.

489 x 804 x 924 x 204 = 74108333376

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.

489 : 1, 3, 163, 489

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 489,804,924,204, is 3.

Now, the common factors can be found like this.

489:3x 163

804:2x 2x 3x 67

924:2x 2x 3x 7x 11

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 3 = 144

Therefore, the value for common factors is 144.

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 = 74108333376/(3x144)

LCM = 74108333376/432

LCM = 171547068

Thus, we can understand that the LCM of 489,804,924,204 is 171547068.

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

• LCM of 672, 563, 651, 325
• LCM of 254, 650, 643, 359
• LCM of 641, 829, 801, 232
• LCM of 854, 771, 708, 311
• LCM of 616, 786, 871, 108

1. What is the LCM of 489, 804, 924, 204?

Answer: LCM of 489, 804, 924, 204 is 171547068.

2. How to calculate the LCM of 489, 804, 924, 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 489, 804, 924, 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}.