Given numbers are 489,468,208

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

The LCM of 489,468,208 is 305136.

Find LCM of 489,468,208 with Prime Factorization

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

2 x 2 x 3 x 13 x 163 x 3 x 4 = 305136

Therefore, the lowest common multiple of 489,468,208 is 305136.

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 468 x 208 = 47601216

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,468,208, is 1.

Now, the common factors can be found like this.

489:3x 163

468:2x 2x 3x 3x 13

208:2x 2x 2x 2x 13

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 47601216/(1x156)

LCM = 47601216/156

LCM = 305136

Thus, we can understand that the LCM of 489,468,208 is 305136.

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

• LCM of 668, 553, 658
• LCM of 164, 336, 975
• LCM of 439, 198, 594
• LCM of 280, 300, 191
• LCM of 341, 603, 271

1. What is the LCM of 489, 468, 208?

Answer: LCM of 489, 468, 208 is 305136.

2. How to calculate the LCM of 489, 468, 208?

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, 468, 208.

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}.