Given numbers are 478,464,225,561,930

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

The LCM of 478,464,225,561,930 is 144644425200.

Find LCM of 478,464,225,561,930 with Prime Factorization

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

2 x 3 x 5 x 239 x 232 x 15 x 187 x 31 = 144644425200

Therefore, the lowest common multiple of 478,464,225,561,930 is 144644425200.

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.

478 x 464 x 225 x 561 x 930 = 26035996536000

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.

478 : 1, 2, 239, 478

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

561 : 1, 3, 11, 17, 33, 51, 187, 561

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,464,225,561,930, is 1.

Now, the common factors can be found like this.

478:2x 239

464:2x 2x 2x 2x 29

225:3x 3x 5x 5

561:3x 11x 17

930:2x 3x 5x 31

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 26035996536000/(1x180)

LCM = 26035996536000/180

LCM = 144644425200

Thus, we can understand that the LCM of 478,464,225,561,930 is 144644425200.

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

• LCM of 542, 457, 344, 178, 901
• LCM of 795, 915, 723, 931, 589
• LCM of 260, 701, 135, 463, 210
• LCM of 416, 186, 350, 974, 307
• LCM of 158, 123, 721, 341, 318

1. What is the LCM of 478, 464, 225, 561, 930?

Answer: LCM of 478, 464, 225, 561, 930 is 144644425200.

2. How to calculate the LCM of 478, 464, 225, 561, 930?

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 478, 464, 225, 561, 930.

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}.