Given numbers are 108,624,202,363,921

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

The LCM of 108,624,202,363,921 is 21070372752.

Find LCM of 108,624,202,363,921 with Prime Factorization

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

2 x 2 x 3 x 9 x 52 x 101 x 121 x 307 = 21070372752

Therefore, the lowest common multiple of 108,624,202,363,921 is 21070372752.

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.

108 x 624 x 202 x 363 x 921 = 4551200514432

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

202 : 1, 2, 101, 202

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

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,624,202,363,921, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

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

202:2x 101

363:3x 11x 11

921:3x 307

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 4551200514432/(1x216)

LCM = 4551200514432/216

LCM = 21070372752

Thus, we can understand that the LCM of 108,624,202,363,921 is 21070372752.

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

• LCM of 912, 142, 264, 722, 926
• LCM of 731, 843, 321, 665, 225
• LCM of 213, 684, 335, 805, 399
• LCM of 483, 253, 231, 446, 177
• LCM of 435, 324, 657, 160, 503

1. What is the LCM of 108, 624, 202, 363, 921?

Answer: LCM of 108, 624, 202, 363, 921 is 21070372752.

2. How to calculate the LCM of 108, 624, 202, 363, 921?

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 108, 624, 202, 363, 921.

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}.