Given numbers are 282,720,690,462

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

The LCM of 282,720,690,462 is 59930640.

Find LCM of 282,720,690,462 with Prime Factorization

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

2 x 3 x 5 x 47 x 24 x 23 x 77 = 59930640

Therefore, the lowest common multiple of 282,720,690,462 is 59930640.

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.

282 x 720 x 690 x 462 = 64725091200

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,720,690,462, is 6.

Now, the common factors can be found like this.

282:2x 3x 47

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

690:2x 3x 5x 23

462:2x 3x 7x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 64725091200/(6x180)

LCM = 64725091200/1080

LCM = 59930640

Thus, we can understand that the LCM of 282,720,690,462 is 59930640.

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

• LCM of 560, 369, 809, 490
• LCM of 512, 867, 348, 924
• LCM of 180, 916, 477, 848
• LCM of 644, 958, 670, 600
• LCM of 488, 983, 455, 436

1. What is the LCM of 282, 720, 690, 462?

Answer: LCM of 282, 720, 690, 462 is 59930640.

2. How to calculate the LCM of 282, 720, 690, 462?

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 282, 720, 690, 462.

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}.