Given numbers are 438,478,584,446

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

The LCM of 438,478,584,446 is 93376344.

Find LCM of 438,478,584,446 with Prime Factorization

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

2 x 73 x 3 x 239 x 4 x 223 = 93376344

Therefore, the lowest common multiple of 438,478,584,446 is 93376344.

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.

438 x 478 x 584 x 446 = 54531784896

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

478 : 1, 2, 239, 478

584 : 1, 2, 4, 8, 73, 146, 292, 584

446 : 1, 2, 223, 446

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,478,584,446, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

478:2x 239

584:2x 2x 2x 73

446:2x 223

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 73 = 292

Therefore, the value for common factors is 292.

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 = 54531784896/(2x292)

LCM = 54531784896/584

LCM = 93376344

Thus, we can understand that the LCM of 438,478,584,446 is 93376344.

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

• LCM of 642, 440, 760, 820
• LCM of 559, 502, 763, 657
• LCM of 307, 732, 167, 907
• LCM of 859, 339, 704, 764
• LCM of 268, 615, 901, 682

1. What is the LCM of 438, 478, 584, 446?

Answer: LCM of 438, 478, 584, 446 is 93376344.

2. How to calculate the LCM of 438, 478, 584, 446?

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 438, 478, 584, 446.

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}.