Given numbers are 489,121,720,579,264

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

The LCM of 489,121,720,579,264 is 2740708080.

Find LCM of 489,121,720,579,264 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 163 x 1 x 30 x 193 x 11 = 2740708080

Therefore, the lowest common multiple of 489,121,720,579,264 is 2740708080.

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 121 x 720 x 579 x 264 = 6511922398080

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

121 : 1, 11, 121

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

579 : 1, 3, 193, 579

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 489,121,720,579,264, is 1.

Now, the common factors can be found like this.

489:3x 163

121:11x 11

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

579:3x 193

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 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 6511922398080/(1x2376)

LCM = 6511922398080/2376

LCM = 2740708080

Thus, we can understand that the LCM of 489,121,720,579,264 is 2740708080.

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

• LCM of 972, 253, 828, 293, 330
• LCM of 438, 428, 577, 381, 850
• LCM of 968, 186, 865, 503, 447
• LCM of 537, 303, 185, 271, 132
• LCM of 115, 674, 276, 325, 973

1. What is the LCM of 489, 121, 720, 579, 264?

Answer: LCM of 489, 121, 720, 579, 264 is 2740708080.

2. How to calculate the LCM of 489, 121, 720, 579, 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, 121, 720, 579, 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}.