Given numbers are 741,585,906,728,220

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

The LCM of 741,585,906,728,220 is 1033872840.

Find LCM of 741,585,906,728,220 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 19 x 3 x 151 x 14 x 11 = 1033872840

Therefore, the lowest common multiple of 741,585,906,728,220 is 1033872840.

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.

741 x 585 x 906 x 728 x 220 = 62900823585600

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

906 : 1, 2, 3, 6, 151, 302, 453, 906

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,585,906,728,220, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

585:3x 3x 5x 13

906:2x 3x 151

728:2x 2x 2x 7x 13

220:2x 2x 5x 11

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 3x 3x 5x 13x 13 = 60840

Therefore, the value for common factors is 60840.

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 = 62900823585600/(1x60840)

LCM = 62900823585600/60840

LCM = 1033872840

Thus, we can understand that the LCM of 741,585,906,728,220 is 1033872840.

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

• LCM of 593, 908, 842, 892, 435
• LCM of 358, 765, 482, 258, 159
• LCM of 825, 989, 404, 337, 522
• LCM of 819, 202, 259, 569, 312
• LCM of 269, 244, 541, 404, 320

1. What is the LCM of 741, 585, 906, 728, 220?

Answer: LCM of 741, 585, 906, 728, 220 is 1033872840.

2. How to calculate the LCM of 741, 585, 906, 728, 220?

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 741, 585, 906, 728, 220.

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}.