Given numbers are 272,219,566,814

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

The LCM of 272,219,566,814 is 6861101808.

Find LCM of 272,219,566,814 with Prime Factorization

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

2 x 136 x 219 x 283 x 407 = 6861101808

Therefore, the lowest common multiple of 272,219,566,814 is 6861101808.

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 219 x 566 x 814 = 27444407232

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

219 : 1, 3, 73, 219

566 : 1, 2, 283, 566

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,219,566,814, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

219:3x 73

566:2x 283

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27444407232/(1x4)

LCM = 27444407232/4

LCM = 6861101808

Thus, we can understand that the LCM of 272,219,566,814 is 6861101808.

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

• LCM of 306, 291, 976, 571
• LCM of 910, 146, 411, 530
• LCM of 319, 517, 484, 316
• LCM of 786, 626, 643, 784
• LCM of 411, 936, 725, 146

1. What is the LCM of 272, 219, 566, 814?

Answer: LCM of 272, 219, 566, 814 is 6861101808.

2. How to calculate the LCM of 272, 219, 566, 814?

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, 219, 566, 814.

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}.