Given numbers are 107,475,643,624,208

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

The LCM of 107,475,643,624,208 is 20392616400.

Find LCM of 107,475,643,624,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 107 x 475 x 643 x 3 x 1 = 20392616400

Therefore, the lowest common multiple of 107,475,643,624,208 is 20392616400.

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.

107 x 475 x 643 x 624 x 208 = 4241664211200

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.

107 : 1, 107

475 : 1, 5, 19, 25, 95, 475

643 : 1, 643

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,475,643,624,208, is 1.

Now, the common factors can be found like this.

107:107

475:5x 5x 19

643:643

624:2x 2x 2x 2x 3x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 4241664211200/(1x208)

LCM = 4241664211200/208

LCM = 20392616400

Thus, we can understand that the LCM of 107,475,643,624,208 is 20392616400.

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

• LCM of 536, 656, 856, 881, 945
• LCM of 221, 346, 674, 190, 605
• LCM of 335, 258, 555, 272, 682
• LCM of 782, 784, 901, 911, 501
• LCM of 230, 500, 508, 567, 126

1. What is the LCM of 107, 475, 643, 624, 208?

Answer: LCM of 107, 475, 643, 624, 208 is 20392616400.

2. How to calculate the LCM of 107, 475, 643, 624, 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 107, 475, 643, 624, 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}.