Given numbers are 272,299,408,348,812

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

The LCM of 272,299,408,348,812 is 49528752.

Find LCM of 272,299,408,348,812 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 29 x 2 x 299 x 1 x 1 x 7 = 49528752

Therefore, the lowest common multiple of 272,299,408,348,812 is 49528752.

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 299 x 408 x 348 x 812 = 9376387098624

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

299 : 1, 13, 23, 299

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,299,408,348,812, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

299:13x 23

408:2x 2x 2x 3x 17

348:2x 2x 3x 29

812:2x 2x 7x 29

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 2x 3x 17x 29 = 189312

Therefore, the value for common factors is 189312.

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 = 9376387098624/(1x189312)

LCM = 9376387098624/189312

LCM = 49528752

Thus, we can understand that the LCM of 272,299,408,348,812 is 49528752.

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

• LCM of 350, 448, 272, 986, 613
• LCM of 685, 932, 705, 976, 736
• LCM of 905, 387, 226, 199, 388
• LCM of 427, 994, 486, 950, 877
• LCM of 846, 173, 175, 314, 875

1. What is the LCM of 272, 299, 408, 348, 812?

Answer: LCM of 272, 299, 408, 348, 812 is 49528752.

2. How to calculate the LCM of 272, 299, 408, 348, 812?

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, 299, 408, 348, 812.

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}.