Given numbers are 489,476,660,264

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

The LCM of 489,476,660,264 is 25604040.

Find LCM of 489,476,660,264 with Prime Factorization

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

2 x 2 x 3 x 11 x 163 x 119 x 5 x 2 = 25604040

Therefore, the lowest common multiple of 489,476,660,264 is 25604040.

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.

489 x 476 x 660 x 264 = 40556799360

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.

489 : 1, 3, 163, 489

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,476,660,264, is 1.

Now, the common factors can be found like this.

489:3x 163

476:2x 2x 7x 17

660:2x 2x 3x 5x 11

264:2x 2x 2x 3x 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 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 40556799360/(1x1584)

LCM = 40556799360/1584

LCM = 25604040

Thus, we can understand that the LCM of 489,476,660,264 is 25604040.

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

• LCM of 303, 848, 650, 139
• LCM of 469, 905, 946, 928
• LCM of 288, 908, 450, 456
• LCM of 764, 678, 687, 805
• LCM of 126, 711, 603, 207

1. What is the LCM of 489, 476, 660, 264?

Answer: LCM of 489, 476, 660, 264 is 25604040.

2. How to calculate the LCM of 489, 476, 660, 264?

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 489, 476, 660, 264.

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}.