Given numbers are 489,572,460,452,790

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

The LCM of 489,572,460,452,790 is 287149631340.

Find LCM of 489,572,460,452,790 with Prime Factorization

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

2 x 2 x 5 x 489 x 143 x 23 x 113 x 79 = 287149631340

Therefore, the lowest common multiple of 489,572,460,452,790 is 287149631340.

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 572 x 460 x 452 x 790 = 45943941014400

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

452 : 1, 2, 4, 113, 226, 452

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,572,460,452,790, is 1.

Now, the common factors can be found like this.

489:3x 163

572:2x 2x 11x 13

460:2x 2x 5x 23

452:2x 2x 113

790:2x 5x 79

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 5 = 160

Therefore, the value for common factors is 160.

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 = 45943941014400/(1x160)

LCM = 45943941014400/160

LCM = 287149631340

Thus, we can understand that the LCM of 489,572,460,452,790 is 287149631340.

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

• LCM of 650, 985, 694, 353, 957
• LCM of 528, 769, 282, 587, 197
• LCM of 289, 320, 856, 539, 578
• LCM of 178, 751, 379, 394, 431
• LCM of 857, 600, 142, 711, 736

1. What is the LCM of 489, 572, 460, 452, 790?

Answer: LCM of 489, 572, 460, 452, 790 is 287149631340.

2. How to calculate the LCM of 489, 572, 460, 452, 790?

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, 572, 460, 452, 790.

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}.