Given numbers are 494,110,936,352

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

The LCM of 494,110,936,352 is 3912480.

Find LCM of 494,110,936,352 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 19 x 5 x 9 x 4 = 3912480

Therefore, the lowest common multiple of 494,110,936,352 is 3912480.

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 110 x 936 x 352 = 17903508480

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,110,936,352, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

110:2x 5x 11

936:2x 2x 2x 3x 3x 13

352:2x 2x 2x 2x 2x 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 2x 2x 11x 13 = 2288

Therefore, the value for common factors is 2288.

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 = 17903508480/(2x2288)

LCM = 17903508480/4576

LCM = 3912480

Thus, we can understand that the LCM of 494,110,936,352 is 3912480.

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

• LCM of 136, 282, 870, 757
• LCM of 912, 411, 715, 401
• LCM of 207, 339, 988, 646
• LCM of 541, 286, 617, 756
• LCM of 516, 582, 122, 554

1. What is the LCM of 494, 110, 936, 352?

Answer: LCM of 494, 110, 936, 352 is 3912480.

2. How to calculate the LCM of 494, 110, 936, 352?

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, 110, 936, 352.

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}.