Given numbers are 660,728,361,207,876

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

The LCM of 660,728,361,207,876 is 218421042840.

Find LCM of 660,728,361,207,876 with Prime Factorization

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

2 x 2 x 3 x 55 x 182 x 361 x 69 x 73 = 218421042840

Therefore, the lowest common multiple of 660,728,361,207,876 is 218421042840.

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.

660 x 728 x 361 x 207 x 876 = 31452630168960

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

361 : 1, 19, 361

207 : 1, 3, 9, 23, 69, 207

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,728,361,207,876, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

728:2x 2x 2x 7x 13

361:19x 19

207:3x 3x 23

876:2x 2x 3x 73

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 3 = 144

Therefore, the value for common factors is 144.

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 = 31452630168960/(1x144)

LCM = 31452630168960/144

LCM = 218421042840

Thus, we can understand that the LCM of 660,728,361,207,876 is 218421042840.

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

• LCM of 763, 812, 393, 247, 288
• LCM of 650, 457, 179, 206, 903
• LCM of 924, 629, 494, 902, 364
• LCM of 206, 515, 524, 387, 308
• LCM of 294, 380, 292, 425, 840

1. What is the LCM of 660, 728, 361, 207, 876?

Answer: LCM of 660, 728, 361, 207, 876 is 218421042840.

2. How to calculate the LCM of 660, 728, 361, 207, 876?

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 660, 728, 361, 207, 876.

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}.