Given numbers are 192,132,282,845,812

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

The LCM of 192,132,282,845,812 is 17027250240.

Find LCM of 192,132,282,845,812 with Prime Factorization

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

2 x 2 x 3 x 16 x 11 x 47 x 845 x 203 = 17027250240

Therefore, the lowest common multiple of 192,132,282,845,812 is 17027250240.

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.

192 x 132 x 282 x 845 x 812 = 4903848069120

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

845 : 1, 5, 13, 65, 169, 845

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,132,282,845,812, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

132:2x 2x 3x 11

282:2x 3x 47

845:5x 13x 13

812:2x 2x 7x 29

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 4903848069120/(1x288)

LCM = 4903848069120/288

LCM = 17027250240

Thus, we can understand that the LCM of 192,132,282,845,812 is 17027250240.

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

• LCM of 711, 334, 384, 796, 563
• LCM of 774, 376, 648, 760, 546
• LCM of 254, 115, 551, 968, 530
• LCM of 587, 611, 268, 579, 839
• LCM of 822, 535, 767, 920, 670

1. What is the LCM of 192, 132, 282, 845, 812?

Answer: LCM of 192, 132, 282, 845, 812 is 17027250240.

2. How to calculate the LCM of 192, 132, 282, 845, 812?

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 192, 132, 282, 845, 812.

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}.