Given numbers are 282,792,390,454,994

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

The LCM of 282,792,390,454,994 is 272972339640.

Find LCM of 282,792,390,454,994 with Prime Factorization

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

2 x 3 x 47 x 132 x 65 x 227 x 497 = 272972339640

Therefore, the lowest common multiple of 282,792,390,454,994 is 272972339640.

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 792 x 390 x 454 x 994 = 39308016908160

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

454 : 1, 2, 227, 454

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,792,390,454,994, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

792:2x 2x 2x 3x 3x 11

390:2x 3x 5x 13

454:2x 227

994:2x 7x 71

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 = 39308016908160/(2x72)

LCM = 39308016908160/144

LCM = 272972339640

Thus, we can understand that the LCM of 282,792,390,454,994 is 272972339640.

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

• LCM of 164, 405, 101, 597, 744
• LCM of 236, 839, 678, 602, 862
• LCM of 444, 123, 461, 472, 886
• LCM of 470, 664, 329, 423, 699
• LCM of 108, 157, 641, 505, 449

1. What is the LCM of 282, 792, 390, 454, 994?

Answer: LCM of 282, 792, 390, 454, 994 is 272972339640.

2. How to calculate the LCM of 282, 792, 390, 454, 994?

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, 792, 390, 454, 994.

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}.