Given numbers are 460,550,440,327,414

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

The LCM of 460,550,440,327,414 is 49638600.

Find LCM of 460,550,440,327,414 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 23 x 1 x 5 x 2 x 109 x 3 = 49638600

Therefore, the lowest common multiple of 460,550,440,327,414 is 49638600.

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.

460 x 550 x 440 x 327 x 414 = 15070278960000

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.

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

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

327 : 1, 3, 109, 327

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,550,440,327,414, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

550:2x 5x 5x 11

440:2x 2x 2x 5x 11

327:3x 109

414:2x 3x 3x 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 2x 2x 2x 3x 5x 5x 11x 23 = 303600

Therefore, the value for common factors is 303600.

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 = 15070278960000/(1x303600)

LCM = 15070278960000/303600

LCM = 49638600

Thus, we can understand that the LCM of 460,550,440,327,414 is 49638600.

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

• LCM of 315, 752, 519, 201, 930
• LCM of 553, 760, 549, 428, 177
• LCM of 592, 227, 596, 674, 703
• LCM of 246, 833, 475, 123, 398
• LCM of 218, 279, 914, 258, 542

1. What is the LCM of 460, 550, 440, 327, 414?

Answer: LCM of 460, 550, 440, 327, 414 is 49638600.

2. How to calculate the LCM of 460, 550, 440, 327, 414?

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 460, 550, 440, 327, 414.

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}.