Given numbers are 544,104,814,213

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

The LCM of 544,104,814,213 is 613078752.

Find LCM of 544,104,814,213 with Prime Factorization

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

2 x 2 x 2 x 68 x 13 x 407 x 213 = 613078752

Therefore, the lowest common multiple of 544,104,814,213 is 613078752.

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 104 x 814 x 213 = 9809260032

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,104,814,213, is 1.

Now, the common factors can be found like this.

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

104:2x 2x 2x 13

814:2x 11x 37

213:3x 71

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 = 9809260032/(1x16)

LCM = 9809260032/16

LCM = 613078752

Thus, we can understand that the LCM of 544,104,814,213 is 613078752.

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

• LCM of 876, 991, 578, 211
• LCM of 181, 624, 429, 326
• LCM of 235, 437, 629, 314
• LCM of 798, 108, 592, 281
• LCM of 951, 774, 952, 716

1. What is the LCM of 544, 104, 814, 213?

Answer: LCM of 544, 104, 814, 213 is 613078752.

2. How to calculate the LCM of 544, 104, 814, 213?

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, 104, 814, 213.

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}.