Given numbers are 272,507,201,742,447

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

The LCM of 272,507,201,742,447 is 510754079472.

Find LCM of 272,507,201,742,447 with Prime Factorization

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

2 x 3 x 136 x 169 x 67 x 371 x 149 = 510754079472

Therefore, the lowest common multiple of 272,507,201,742,447 is 510754079472.

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 507 x 201 x 742 x 447 = 9193573430496

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

507 : 1, 3, 13, 39, 169, 507

201 : 1, 3, 67, 201

742 : 1, 2, 7, 14, 53, 106, 371, 742

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,507,201,742,447, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

507:3x 13x 13

201:3x 67

742:2x 7x 53

447:3x 149

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 9193573430496/(1x18)

LCM = 9193573430496/18

LCM = 510754079472

Thus, we can understand that the LCM of 272,507,201,742,447 is 510754079472.

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

• LCM of 978, 256, 423, 799, 616
• LCM of 690, 272, 173, 561, 140
• LCM of 112, 413, 535, 849, 976
• LCM of 887, 453, 380, 710, 476
• LCM of 411, 156, 470, 908, 849

1. What is the LCM of 272, 507, 201, 742, 447?

Answer: LCM of 272, 507, 201, 742, 447 is 510754079472.

2. How to calculate the LCM of 272, 507, 201, 742, 447?

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, 507, 201, 742, 447.

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}.