Given numbers are 201,547,408,696,123

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

The LCM of 201,547,408,696,123 is 17778869688.

Find LCM of 201,547,408,696,123 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 547 x 17 x 29 x 41 = 17778869688

Therefore, the lowest common multiple of 201,547,408,696,123 is 17778869688.

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.

201 x 547 x 408 x 696 x 123 = 3840235852608

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.

201 : 1, 3, 67, 201

547 : 1, 547

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,547,408,696,123, is 1.

Now, the common factors can be found like this.

201:3x 67

547:547

408:2x 2x 2x 3x 17

696:2x 2x 2x 3x 29

123:3x 41

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 = 3840235852608/(1x216)

LCM = 3840235852608/216

LCM = 17778869688

Thus, we can understand that the LCM of 201,547,408,696,123 is 17778869688.

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

• LCM of 806, 878, 282, 261, 390
• LCM of 873, 887, 124, 842, 925
• LCM of 623, 949, 692, 510, 467
• LCM of 414, 375, 207, 134, 918
• LCM of 428, 900, 949, 872, 454

1. What is the LCM of 201, 547, 408, 696, 123?

Answer: LCM of 201, 547, 408, 696, 123 is 17778869688.

2. How to calculate the LCM of 201, 547, 408, 696, 123?

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 201, 547, 408, 696, 123.

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}.