Given numbers are 208,175,812,247,104

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

The LCM of 208,175,812,247,104 is 20056400.

Find LCM of 208,175,812,247,104 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 25 x 29 x 19 x 2 = 20056400

Therefore, the lowest common multiple of 208,175,812,247,104 is 20056400.

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.

208 x 175 x 812 x 247 x 104 = 759255078400

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.

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

175 : 1, 5, 7, 25, 35, 175

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

247 : 1, 13, 19, 247

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,175,812,247,104, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

175:5x 5x 7

812:2x 2x 7x 29

247:13x 19

104:2x 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 7x 13x 13 = 37856

Therefore, the value for common factors is 37856.

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 = 759255078400/(1x37856)

LCM = 759255078400/37856

LCM = 20056400

Thus, we can understand that the LCM of 208,175,812,247,104 is 20056400.

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

• LCM of 847, 742, 150, 264, 674
• LCM of 677, 216, 201, 884, 151
• LCM of 461, 426, 496, 432, 680
• LCM of 447, 780, 105, 522, 303
• LCM of 406, 360, 390, 302, 334

1. What is the LCM of 208, 175, 812, 247, 104?

Answer: LCM of 208, 175, 812, 247, 104 is 20056400.

2. How to calculate the LCM of 208, 175, 812, 247, 104?

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 208, 175, 812, 247, 104.

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}.