Given numbers are 290,789,303,108,966

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

The LCM of 290,789,303,108,966 is 66972229380.

Find LCM of 290,789,303,108,966 with Prime Factorization

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

2 x 3 x 145 x 263 x 101 x 18 x 161 = 66972229380

Therefore, the lowest common multiple of 290,789,303,108,966 is 66972229380.

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.

290 x 789 x 303 x 108 x 966 = 7233000773040

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

789 : 1, 3, 263, 789

303 : 1, 3, 101, 303

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,789,303,108,966, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

789:3x 263

303:3x 101

108:2x 2x 3x 3x 3

966:2x 3x 7x 23

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 3 = 108

Therefore, the value for common factors is 108.

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 = 7233000773040/(1x108)

LCM = 7233000773040/108

LCM = 66972229380

Thus, we can understand that the LCM of 290,789,303,108,966 is 66972229380.

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

• LCM of 912, 366, 294, 991, 155
• LCM of 456, 410, 300, 745, 693
• LCM of 359, 551, 404, 498, 200
• LCM of 805, 737, 508, 762, 223
• LCM of 852, 517, 663, 190, 935

1. What is the LCM of 290, 789, 303, 108, 966?

Answer: LCM of 290, 789, 303, 108, 966 is 66972229380.

2. How to calculate the LCM of 290, 789, 303, 108, 966?

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 290, 789, 303, 108, 966.

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}.