Given numbers are 720,489,732,468

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

The LCM of 720,489,732,468 is 93066480.

Find LCM of 720,489,732,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 20 x 163 x 61 x 13 = 93066480

Therefore, the lowest common multiple of 720,489,732,468 is 93066480.

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.

720 x 489 x 732 x 468 = 120614158080

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.

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

489 : 1, 3, 163, 489

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,489,732,468, is 3.

Now, the common factors can be found like this.

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

489:3x 163

732:2x 2x 3x 61

468:2x 2x 3x 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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 120614158080/(3x432)

LCM = 120614158080/1296

LCM = 93066480

Thus, we can understand that the LCM of 720,489,732,468 is 93066480.

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

• LCM of 556, 210, 495, 970
• LCM of 530, 186, 939, 263
• LCM of 302, 379, 213, 145
• LCM of 145, 714, 543, 372
• LCM of 865, 858, 694, 269

1. What is the LCM of 720, 489, 732, 468?

Answer: LCM of 720, 489, 732, 468 is 93066480.

2. How to calculate the LCM of 720, 489, 732, 468?

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 720, 489, 732, 468.

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}.