Given numbers are 261,652,836,429,924

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

The LCM of 261,652,836,429,924 is 3236501268.

Find LCM of 261,652,836,429,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 87 x 163 x 19 x 13 x 7 = 3236501268

Therefore, the lowest common multiple of 261,652,836,429,924 is 3236501268.

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 652 x 836 x 429 x 924 = 56392798093632

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

652 : 1, 2, 4, 163, 326, 652

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

429 : 1, 3, 11, 13, 33, 39, 143, 429

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,652,836,429,924, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

652:2x 2x 163

836:2x 2x 11x 19

429:3x 11x 13

924:2x 2x 3x 7x 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 2x 2x 3x 3x 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 56392798093632/(1x17424)

LCM = 56392798093632/17424

LCM = 3236501268

Thus, we can understand that the LCM of 261,652,836,429,924 is 3236501268.

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

• LCM of 670, 408, 549, 703, 642
• LCM of 996, 354, 559, 485, 403
• LCM of 254, 247, 116, 909, 374
• LCM of 511, 933, 531, 129, 861
• LCM of 721, 253, 590, 938, 225

1. What is the LCM of 261, 652, 836, 429, 924?

Answer: LCM of 261, 652, 836, 429, 924 is 3236501268.

2. How to calculate the LCM of 261, 652, 836, 429, 924?

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, 652, 836, 429, 924.

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}.