Given numbers are 687,764,338,894,249

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

The LCM of 687,764,338,894,249 is 1096986191964.

Find LCM of 687,764,338,894,249 with Prime Factorization

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

2 x 3 x 229 x 382 x 169 x 149 x 83 = 1096986191964

Therefore, the lowest common multiple of 687,764,338,894,249 is 1096986191964.

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 764 x 338 x 894 x 249 = 39491502910704

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

764 : 1, 2, 4, 191, 382, 764

338 : 1, 2, 13, 26, 169, 338

894 : 1, 2, 3, 6, 149, 298, 447, 894

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,764,338,894,249, is 1.

Now, the common factors can be found like this.

687:3x 229

764:2x 2x 191

338:2x 13x 13

894:2x 3x 149

249:3x 83

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 3 = 36

Therefore, the value for common factors is 36.

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 = 39491502910704/(1x36)

LCM = 39491502910704/36

LCM = 1096986191964

Thus, we can understand that the LCM of 687,764,338,894,249 is 1096986191964.

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

• LCM of 970, 295, 106, 958, 623
• LCM of 471, 344, 227, 157, 999
• LCM of 482, 393, 802, 436, 804
• LCM of 536, 664, 382, 400, 483
• LCM of 986, 397, 910, 109, 449

1. What is the LCM of 687, 764, 338, 894, 249?

Answer: LCM of 687, 764, 338, 894, 249 is 1096986191964.

2. How to calculate the LCM of 687, 764, 338, 894, 249?

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, 764, 338, 894, 249.

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}.