Given numbers are 272,587,214,478,544

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

The LCM of 272,587,214,478,544 is 8166174944.

Find LCM of 272,587,214,478,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 1 x 587 x 107 x 239 x 2 = 8166174944

Therefore, the lowest common multiple of 272,587,214,478,544 is 8166174944.

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.

272 x 587 x 214 x 478 x 544 = 8884798339072

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

587 : 1, 587

214 : 1, 2, 107, 214

478 : 1, 2, 239, 478

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,587,214,478,544, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

587:587

214:2x 107

478:2x 239

544:2x 2x 2x 2x 2x 17

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 2x 2x 2x 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 8884798339072/(1x1088)

LCM = 8884798339072/1088

LCM = 8166174944

Thus, we can understand that the LCM of 272,587,214,478,544 is 8166174944.

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

• LCM of 398, 507, 252, 906, 638
• LCM of 701, 237, 412, 917, 405
• LCM of 907, 767, 604, 419, 167
• LCM of 132, 843, 856, 771, 653
• LCM of 850, 136, 713, 354, 175

1. What is the LCM of 272, 587, 214, 478, 544?

Answer: LCM of 272, 587, 214, 478, 544 is 8166174944.

2. How to calculate the LCM of 272, 587, 214, 478, 544?

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 272, 587, 214, 478, 544.

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}.