Given numbers are 489,506,466,296

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

The LCM of 489,506,466,296 is 8532514056.

Find LCM of 489,506,466,296 with Prime Factorization

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

2 x 489 x 253 x 233 x 148 = 8532514056

Therefore, the lowest common multiple of 489,506,466,296 is 8532514056.

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 506 x 466 x 296 = 34130056224

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

466 : 1, 2, 233, 466

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,506,466,296, is 1.

Now, the common factors can be found like this.

489:3x 163

506:2x 11x 23

466:2x 233

296:2x 2x 2x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 34130056224/(1x4)

LCM = 34130056224/4

LCM = 8532514056

Thus, we can understand that the LCM of 489,506,466,296 is 8532514056.

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

• LCM of 752, 477, 918, 880
• LCM of 165, 320, 659, 272
• LCM of 699, 753, 128, 368
• LCM of 797, 631, 847, 639
• LCM of 534, 904, 467, 591

1. What is the LCM of 489, 506, 466, 296?

Answer: LCM of 489, 506, 466, 296 is 8532514056.

2. How to calculate the LCM of 489, 506, 466, 296?

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, 506, 466, 296.

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}.