Given numbers are 201,908,702,447,814

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

The LCM of 201,908,702,447,814 is 1294936419348.

Find LCM of 201,908,702,447,814 with Prime Factorization

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

2 x 3 x 67 x 454 x 117 x 149 x 407 = 1294936419348

Therefore, the lowest common multiple of 201,908,702,447,814 is 1294936419348.

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 908 x 702 x 447 x 814 = 46617711096528

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

908 : 1, 2, 4, 227, 454, 908

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

447 : 1, 3, 149, 447

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,908,702,447,814, is 1.

Now, the common factors can be found like this.

201:3x 67

908:2x 2x 227

702:2x 3x 3x 3x 13

447:3x 149

814:2x 11x 37

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 46617711096528/(1x36)

LCM = 46617711096528/36

LCM = 1294936419348

Thus, we can understand that the LCM of 201,908,702,447,814 is 1294936419348.

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

• LCM of 444, 801, 677, 765, 367
• LCM of 296, 472, 564, 604, 281
• LCM of 281, 188, 829, 100, 851
• LCM of 219, 690, 589, 532, 353
• LCM of 438, 719, 124, 967, 319

1. What is the LCM of 201, 908, 702, 447, 814?

Answer: LCM of 201, 908, 702, 447, 814 is 1294936419348.

2. How to calculate the LCM of 201, 908, 702, 447, 814?

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, 908, 702, 447, 814.

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}.