Given numbers are 494,923,208

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

The LCM of 494,923,208 is 280592.

Find LCM of 494,923,208 with Prime Factorization

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

2 x 13 x 19 x 71 x 8 = 280592

Therefore, the lowest common multiple of 494,923,208 is 280592.

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.

494 x 923 x 208 = 94840096

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

923 : 1, 13, 71, 923

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

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,923,208, is 13.

Now, the common factors can be found like this.

494:2x 13x 19

923:13x 71

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 13 = 26

Therefore, the value for common factors is 26.

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 = 94840096/(13x26)

LCM = 94840096/338

LCM = 280592

Thus, we can understand that the LCM of 494,923,208 is 280592.

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

• LCM of 329, 524, 361
• LCM of 513, 384, 444
• LCM of 915, 186, 897
• LCM of 428, 845, 450
• LCM of 870, 749, 173

1. What is the LCM of 494, 923, 208?

Answer: LCM of 494, 923, 208 is 280592.

2. How to calculate the LCM of 494, 923, 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 494, 923, 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}.