Given numbers are 489,732,758,624

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

The LCM of 489,732,758,624 is 2351479728.

Find LCM of 489,732,758,624 with Prime Factorization

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

2 x 2 x 3 x 163 x 61 x 379 x 52 = 2351479728

Therefore, the lowest common multiple of 489,732,758,624 is 2351479728.

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 732 x 758 x 624 = 169306540416

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

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

758 : 1, 2, 379, 758

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,732,758,624, is 1.

Now, the common factors can be found like this.

489:3x 163

732:2x 2x 3x 61

758:2x 379

624:2x 2x 2x 2x 3x 13

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 3 = 72

Therefore, the value for common factors is 72.

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 = 169306540416/(1x72)

LCM = 169306540416/72

LCM = 2351479728

Thus, we can understand that the LCM of 489,732,758,624 is 2351479728.

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

• LCM of 921, 214, 348, 337
• LCM of 188, 953, 978, 124
• LCM of 214, 919, 167, 821
• LCM of 970, 659, 321, 251
• LCM of 581, 879, 582, 581

1. What is the LCM of 489, 732, 758, 624?

Answer: LCM of 489, 732, 758, 624 is 2351479728.

2. How to calculate the LCM of 489, 732, 758, 624?

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, 732, 758, 624.

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}.