Given numbers are 276,460,614,408

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

The LCM of 276,460,614,408 is 14404440.

Find LCM of 276,460,614,408 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 5 x 307 x 34 = 14404440

Therefore, the lowest common multiple of 276,460,614,408 is 14404440.

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.

276 x 460 x 614 x 408 = 31805003520

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

614 : 1, 2, 307, 614

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,460,614,408, is 2.

Now, the common factors can be found like this.

276:2x 2x 3x 23

460:2x 2x 5x 23

614:2x 307

408:2x 2x 2x 3x 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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 31805003520/(2x1104)

LCM = 31805003520/2208

LCM = 14404440

Thus, we can understand that the LCM of 276,460,614,408 is 14404440.

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

• LCM of 193, 524, 335, 755
• LCM of 210, 667, 109, 645
• LCM of 939, 139, 894, 483
• LCM of 104, 320, 680, 933
• LCM of 567, 298, 754, 399

1. What is the LCM of 276, 460, 614, 408?

Answer: LCM of 276, 460, 614, 408 is 14404440.

2. How to calculate the LCM of 276, 460, 614, 408?

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 276, 460, 614, 408.

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}.