Given numbers are 463,601,438,814,584

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

The LCM of 463,601,438,814,584 is 198419327832.

Find LCM of 463,601,438,814,584 with Prime Factorization

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

2 x 73 x 463 x 601 x 3 x 407 x 4 = 198419327832

Therefore, the lowest common multiple of 463,601,438,814,584 is 198419327832.

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.

463 x 601 x 438 x 814 x 584 = 57938443726944

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.

463 : 1, 463

601 : 1, 601

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,601,438,814,584, is 1.

Now, the common factors can be found like this.

463:463

601:601

438:2x 3x 73

814:2x 11x 37

584:2x 2x 2x 73

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 = 57938443726944/(1x292)

LCM = 57938443726944/292

LCM = 198419327832

Thus, we can understand that the LCM of 463,601,438,814,584 is 198419327832.

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

• LCM of 143, 880, 489, 903, 210
• LCM of 142, 824, 273, 609, 833
• LCM of 460, 636, 885, 615, 212
• LCM of 260, 627, 576, 536, 240
• LCM of 691, 213, 334, 904, 530

1. What is the LCM of 463, 601, 438, 814, 584?

Answer: LCM of 463, 601, 438, 814, 584 is 198419327832.

2. How to calculate the LCM of 463, 601, 438, 814, 584?

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 463, 601, 438, 814, 584.

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}.