Given numbers are 494,372,176,700,208

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

The LCM of 494,372,176,700,208 is 707506800.

Find LCM of 494,372,176,700,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 19 x 93 x 11 x 175 x 1 = 707506800

Therefore, the lowest common multiple of 494,372,176,700,208 is 707506800.

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 372 x 176 x 700 x 208 = 4709165260800

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,372,176,700,208, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

372:2x 2x 3x 31

176:2x 2x 2x 2x 11

700:2x 2x 5x 5x 7

208:2x 2x 2x 2x 13

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 2x 2x 2x 13 = 3328

Therefore, the value for common factors is 3328.

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 = 4709165260800/(2x3328)

LCM = 4709165260800/6656

LCM = 707506800

Thus, we can understand that the LCM of 494,372,176,700,208 is 707506800.

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

• LCM of 397, 273, 805, 543, 121
• LCM of 901, 113, 742, 592, 527
• LCM of 382, 168, 523, 651, 364
• LCM of 769, 736, 350, 888, 704
• LCM of 611, 512, 920, 829, 371

1. What is the LCM of 494, 372, 176, 700, 208?

Answer: LCM of 494, 372, 176, 700, 208 is 707506800.

2. How to calculate the LCM of 494, 372, 176, 700, 208?

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, 372, 176, 700, 208.

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}.