Given numbers are 291,687,360,628,684

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

The LCM of 291,687,360,628,684 is 23854096440.

Find LCM of 291,687,360,628,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 97 x 229 x 10 x 157 x 19 = 23854096440

Therefore, the lowest common multiple of 291,687,360,628,684 is 23854096440.

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.

291 x 687 x 360 x 628 x 684 = 30914908986240

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.

291 : 1, 3, 97, 291

687 : 1, 3, 229, 687

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

628 : 1, 2, 4, 157, 314, 628

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,687,360,628,684, is 1.

Now, the common factors can be found like this.

291:3x 97

687:3x 229

360:2x 2x 2x 3x 3x 5

628:2x 2x 157

684:2x 2x 3x 3x 19

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 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 30914908986240/(1x1296)

LCM = 30914908986240/1296

LCM = 23854096440

Thus, we can understand that the LCM of 291,687,360,628,684 is 23854096440.

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

• LCM of 247, 581, 950, 957, 741
• LCM of 291, 859, 225, 457, 750
• LCM of 546, 585, 593, 552, 401
• LCM of 434, 960, 630, 476, 116
• LCM of 348, 751, 721, 178, 860

1. What is the LCM of 291, 687, 360, 628, 684?

Answer: LCM of 291, 687, 360, 628, 684 is 23854096440.

2. How to calculate the LCM of 291, 687, 360, 628, 684?

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 291, 687, 360, 628, 684.

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}.