Given numbers are 311,704,752,349

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

The LCM of 311,704,752,349 is 3591338432.

Find LCM of 311,704,752,349 with Prime Factorization

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

2 x 2 x 2 x 2 x 311 x 44 x 47 x 349 = 3591338432

Therefore, the lowest common multiple of 311,704,752,349 is 3591338432.

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.

311 x 704 x 752 x 349 = 57461414912

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.

311 : 1, 311

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,704,752,349, is 1.

Now, the common factors can be found like this.

311:311

704:2x 2x 2x 2x 2x 2x 11

752:2x 2x 2x 2x 47

349:349

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 2 = 16

Therefore, the value for common factors is 16.

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 = 57461414912/(1x16)

LCM = 57461414912/16

LCM = 3591338432

Thus, we can understand that the LCM of 311,704,752,349 is 3591338432.

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

• LCM of 258, 839, 140, 449
• LCM of 449, 213, 943, 169
• LCM of 418, 236, 490, 356
• LCM of 900, 938, 905, 322
• LCM of 543, 411, 339, 501

1. What is the LCM of 311, 704, 752, 349?

Answer: LCM of 311, 704, 752, 349 is 3591338432.

2. How to calculate the LCM of 311, 704, 752, 349?

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 311, 704, 752, 349.

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}.