Given numbers are 614,261,735,408

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

The LCM of 614,261,735,408 is 2669831640.

Find LCM of 614,261,735,408 with Prime Factorization

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

2 x 3 x 307 x 87 x 245 x 68 = 2669831640

Therefore, the lowest common multiple of 614,261,735,408 is 2669831640.

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.

614 x 261 x 735 x 408 = 48056969520

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.

614 : 1, 2, 307, 614

261 : 1, 3, 9, 29, 87, 261

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,261,735,408, is 1.

Now, the common factors can be found like this.

614:2x 307

261:3x 3x 29

735:3x 5x 7x 7

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 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 = 48056969520/(1x18)

LCM = 48056969520/18

LCM = 2669831640

Thus, we can understand that the LCM of 614,261,735,408 is 2669831640.

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

• LCM of 439, 499, 720, 359
• LCM of 756, 603, 760, 923
• LCM of 120, 518, 659, 480
• LCM of 720, 139, 269, 822
• LCM of 139, 388, 252, 311

1. What is the LCM of 614, 261, 735, 408?

Answer: LCM of 614, 261, 735, 408 is 2669831640.

2. How to calculate the LCM of 614, 261, 735, 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 614, 261, 735, 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}.