Given numbers are 261,363,676,463,923

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

The LCM of 261,363,676,463,923 is 701797655988.

Find LCM of 261,363,676,463,923 with Prime Factorization

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

3 x 13 x 87 x 121 x 52 x 463 x 71 = 701797655988

Therefore, the lowest common multiple of 261,363,676,463,923 is 701797655988.

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.

261 x 363 x 676 x 463 x 923 = 27370108583532

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.

261 : 1, 3, 9, 29, 87, 261

363 : 1, 3, 11, 33, 121, 363

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

463 : 1, 463

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,363,676,463,923, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

363:3x 11x 11

676:2x 2x 13x 13

463:463

923:13x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 27370108583532/(1x39)

LCM = 27370108583532/39

LCM = 701797655988

Thus, we can understand that the LCM of 261,363,676,463,923 is 701797655988.

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

• LCM of 238, 210, 601, 841, 296
• LCM of 643, 807, 907, 335, 419
• LCM of 648, 439, 407, 272, 633
• LCM of 510, 654, 716, 191, 654
• LCM of 501, 622, 625, 345, 951

1. What is the LCM of 261, 363, 676, 463, 923?

Answer: LCM of 261, 363, 676, 463, 923 is 701797655988.

2. How to calculate the LCM of 261, 363, 676, 463, 923?

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 261, 363, 676, 463, 923.

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}.