Given numbers are 281,306,476,368,772

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

The LCM of 281,306,476,368,772 is 21374743824.

Find LCM of 281,306,476,368,772 with Prime Factorization

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

2 x 2 x 17 x 281 x 9 x 7 x 92 x 193 = 21374743824

Therefore, the lowest common multiple of 281,306,476,368,772 is 21374743824.

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.

281 x 306 x 476 x 368 x 772 = 11627860640256

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.

281 : 1, 281

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,306,476,368,772, is 1.

Now, the common factors can be found like this.

281:281

306:2x 3x 3x 17

476:2x 2x 7x 17

368:2x 2x 2x 2x 23

772:2x 2x 193

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 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 11627860640256/(1x544)

LCM = 11627860640256/544

LCM = 21374743824

Thus, we can understand that the LCM of 281,306,476,368,772 is 21374743824.

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

• LCM of 382, 866, 438, 324, 927
• LCM of 476, 765, 857, 766, 692
• LCM of 968, 279, 447, 924, 832
• LCM of 118, 442, 297, 870, 961
• LCM of 592, 222, 903, 197, 759

1. What is the LCM of 281, 306, 476, 368, 772?

Answer: LCM of 281, 306, 476, 368, 772 is 21374743824.

2. How to calculate the LCM of 281, 306, 476, 368, 772?

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 281, 306, 476, 368, 772.

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}.