Given numbers are 549,106,465,104,728

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

The LCM of 549,106,465,104,728 is 3283305480.

Find LCM of 549,106,465,104,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 183 x 53 x 155 x 1 x 7 = 3283305480

Therefore, the lowest common multiple of 549,106,465,104,728 is 3283305480.

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.

549 x 106 x 465 x 104 x 728 = 2048782619520

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.

549 : 1, 3, 9, 61, 183, 549

106 : 1, 2, 53, 106

465 : 1, 3, 5, 15, 31, 93, 155, 465

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,106,465,104,728, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

106:2x 53

465:3x 5x 31

104:2x 2x 2x 13

728:2x 2x 2x 7x 13

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 2048782619520/(1x624)

LCM = 2048782619520/624

LCM = 3283305480

Thus, we can understand that the LCM of 549,106,465,104,728 is 3283305480.

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

• LCM of 647, 431, 369, 313, 294
• LCM of 816, 857, 255, 421, 795
• LCM of 695, 838, 301, 568, 856
• LCM of 909, 353, 326, 582, 615
• LCM of 986, 617, 388, 543, 227

1. What is the LCM of 549, 106, 465, 104, 728?

Answer: LCM of 549, 106, 465, 104, 728 is 3283305480.

2. How to calculate the LCM of 549, 106, 465, 104, 728?

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 549, 106, 465, 104, 728.

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}.