Given numbers are 746,614,361,460

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

The LCM of 746,614,361,460 is 19015696660.

Find LCM of 746,614,361,460 with Prime Factorization

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

2 x 373 x 307 x 361 x 230 = 19015696660

Therefore, the lowest common multiple of 746,614,361,460 is 19015696660.

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.

746 x 614 x 361 x 460 = 76062786640

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.

746 : 1, 2, 373, 746

614 : 1, 2, 307, 614

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,614,361,460, is 1.

Now, the common factors can be found like this.

746:2x 373

614:2x 307

361:19x 19

460:2x 2x 5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 76062786640/(1x4)

LCM = 76062786640/4

LCM = 19015696660

Thus, we can understand that the LCM of 746,614,361,460 is 19015696660.

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

• LCM of 151, 139, 401, 961
• LCM of 742, 424, 890, 314
• LCM of 104, 186, 446, 305
• LCM of 503, 845, 380, 329
• LCM of 598, 472, 688, 860

1. What is the LCM of 746, 614, 361, 460?

Answer: LCM of 746, 614, 361, 460 is 19015696660.

2. How to calculate the LCM of 746, 614, 361, 460?

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 746, 614, 361, 460.

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}.