Given numbers are 680,230,865,412,283

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

The LCM of 680,230,865,412,283 is 78869032280.

Find LCM of 680,230,865,412,283 with Prime Factorization

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

2 x 2 x 5 x 34 x 23 x 173 x 103 x 283 = 78869032280

Therefore, the lowest common multiple of 680,230,865,412,283 is 78869032280.

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.

680 x 230 x 865 x 412 x 283 = 15773806456000

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

230 : 1, 2, 5, 10, 23, 46, 115, 230

865 : 1, 5, 173, 865

412 : 1, 2, 4, 103, 206, 412

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,230,865,412,283, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

230:2x 5x 23

865:5x 173

412:2x 2x 103

283:283

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 15773806456000/(1x200)

LCM = 15773806456000/200

LCM = 78869032280

Thus, we can understand that the LCM of 680,230,865,412,283 is 78869032280.

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

• LCM of 187, 261, 753, 672, 773
• LCM of 238, 801, 555, 250, 295
• LCM of 457, 205, 141, 423, 683
• LCM of 326, 229, 150, 941, 815
• LCM of 481, 532, 683, 528, 978

1. What is the LCM of 680, 230, 865, 412, 283?

Answer: LCM of 680, 230, 865, 412, 283 is 78869032280.

2. How to calculate the LCM of 680, 230, 865, 412, 283?

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 680, 230, 865, 412, 283.

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}.