Given numbers are 272,378,814,390

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

The LCM of 272,378,814,390 is 1359998640.

Find LCM of 272,378,814,390 with Prime Factorization

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

2 x 3 x 136 x 63 x 407 x 65 = 1359998640

Therefore, the lowest common multiple of 272,378,814,390 is 1359998640.

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 378 x 814 x 390 = 32639967360

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,378,814,390, is 2.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

378:2x 3x 3x 3x 7

814:2x 11x 37

390:2x 3x 5x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 32639967360/(2x12)

LCM = 32639967360/24

LCM = 1359998640

Thus, we can understand that the LCM of 272,378,814,390 is 1359998640.

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

• LCM of 951, 431, 359, 608
• LCM of 855, 169, 148, 613
• LCM of 397, 846, 211, 390
• LCM of 208, 203, 563, 314
• LCM of 715, 505, 607, 222

1. What is the LCM of 272, 378, 814, 390?

Answer: LCM of 272, 378, 814, 390 is 1359998640.

2. How to calculate the LCM of 272, 378, 814, 390?

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, 378, 814, 390.

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}.