Given numbers are 498,563,720,460,660

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

The LCM of 498,563,720,460,660 is 8512154640.

Find LCM of 498,563,720,460,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 83 x 563 x 12 x 23 x 11 = 8512154640

Therefore, the lowest common multiple of 498,563,720,460,660 is 8512154640.

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.

498 x 563 x 720 x 460 x 660 = 61287513408000

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

563 : 1, 563

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,563,720,460,660, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

563:563

720:2x 2x 2x 2x 3x 3x 5

460:2x 2x 5x 23

660:2x 2x 3x 5x 11

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 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 61287513408000/(1x7200)

LCM = 61287513408000/7200

LCM = 8512154640

Thus, we can understand that the LCM of 498,563,720,460,660 is 8512154640.

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

• LCM of 263, 302, 660, 287, 161
• LCM of 899, 751, 365, 957, 729
• LCM of 327, 706, 555, 859, 470
• LCM of 906, 107, 566, 245, 902
• LCM of 716, 666, 616, 883, 644

1. What is the LCM of 498, 563, 720, 460, 660?

Answer: LCM of 498, 563, 720, 460, 660 is 8512154640.

2. How to calculate the LCM of 498, 563, 720, 460, 660?

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 498, 563, 720, 460, 660.

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}.