Given numbers are 494,125,363,804,966

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

The LCM of 494,125,363,804,966 is 483586603500.

Find LCM of 494,125,363,804,966 with Prime Factorization

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

2 x 3 x 247 x 125 x 121 x 134 x 161 = 483586603500

Therefore, the lowest common multiple of 494,125,363,804,966 is 483586603500.

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.

494 x 125 x 363 x 804 x 966 = 17409117726000

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

125 : 1, 5, 25, 125

363 : 1, 3, 11, 33, 121, 363

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 494,125,363,804,966, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

125:5x 5x 5

363:3x 11x 11

804:2x 2x 3x 67

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 3 = 36

Therefore, the value for common factors is 36.

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 = 17409117726000/(1x36)

LCM = 17409117726000/36

LCM = 483586603500

Thus, we can understand that the LCM of 494,125,363,804,966 is 483586603500.

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

• LCM of 152, 344, 516, 439, 597
• LCM of 588, 243, 456, 230, 303
• LCM of 719, 964, 447, 950, 386
• LCM of 705, 939, 687, 491, 645
• LCM of 106, 550, 977, 522, 489

1. What is the LCM of 494, 125, 363, 804, 966?

Answer: LCM of 494, 125, 363, 804, 966 is 483586603500.

2. How to calculate the LCM of 494, 125, 363, 804, 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 494, 125, 363, 804, 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}.