Given numbers are 544,343,352,814

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

The LCM of 544,343,352,814 is 75942944.

Find LCM of 544,343,352,814 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 11 x 17 x 343 x 1 x 37 = 75942944

Therefore, the lowest common multiple of 544,343,352,814 is 75942944.

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.

544 x 343 x 352 x 814 = 53463832576

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

343 : 1, 7, 49, 343

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

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 544,343,352,814, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

343:7x 7x 7

352:2x 2x 2x 2x 2x 11

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 2x 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 53463832576/(1x704)

LCM = 53463832576/704

LCM = 75942944

Thus, we can understand that the LCM of 544,343,352,814 is 75942944.

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

• LCM of 874, 809, 616, 620
• LCM of 897, 690, 283, 259
• LCM of 646, 419, 355, 244
• LCM of 285, 715, 446, 351
• LCM of 904, 299, 259, 943

1. What is the LCM of 544, 343, 352, 814?

Answer: LCM of 544, 343, 352, 814 is 75942944.

2. How to calculate the LCM of 544, 343, 352, 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 544, 343, 352, 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}.