Given numbers are 687,723,308,660,121

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

The LCM of 687,723,308,660,121 is 2804704980.

Find LCM of 687,723,308,660,121 with Prime Factorization

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

2 x 2 x 3 x 11 x 229 x 241 x 7 x 5 x 11 = 2804704980

Therefore, the lowest common multiple of 687,723,308,660,121 is 2804704980.

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.

687 x 723 x 308 x 660 x 121 = 12217294892880

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.

687 : 1, 3, 229, 687

723 : 1, 3, 241, 723

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,723,308,660,121, is 1.

Now, the common factors can be found like this.

687:3x 229

723:3x 241

308:2x 2x 7x 11

660:2x 2x 3x 5x 11

121:11x 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 3x 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 12217294892880/(1x4356)

LCM = 12217294892880/4356

LCM = 2804704980

Thus, we can understand that the LCM of 687,723,308,660,121 is 2804704980.

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

• LCM of 317, 109, 367, 520, 845
• LCM of 152, 940, 922, 422, 907
• LCM of 835, 374, 455, 572, 352
• LCM of 384, 965, 610, 859, 973
• LCM of 372, 680, 187, 976, 737

1. What is the LCM of 687, 723, 308, 660, 121?

Answer: LCM of 687, 723, 308, 660, 121 is 2804704980.

2. How to calculate the LCM of 687, 723, 308, 660, 121?

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 687, 723, 308, 660, 121.

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}.