Given numbers are 864,896,343,121,952

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

The LCM of 864,896,343,121,952 is 2438384256.

Find LCM of 864,896,343,121,952 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 7 x 27 x 4 x 49 x 121 x 17 = 2438384256

Therefore, the lowest common multiple of 864,896,343,121,952 is 2438384256.

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.

864 x 896 x 343 x 121 x 952 = 30587092107264

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

343 : 1, 7, 49, 343

121 : 1, 11, 121

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,896,343,121,952, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

896:2x 2x 2x 2x 2x 2x 2x 7

343:7x 7x 7

121:11x 11

952:2x 2x 2x 7x 17

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 2x 2x 2x 7x 7 = 12544

Therefore, the value for common factors is 12544.

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 = 30587092107264/(1x12544)

LCM = 30587092107264/12544

LCM = 2438384256

Thus, we can understand that the LCM of 864,896,343,121,952 is 2438384256.

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

• LCM of 683, 430, 734, 797, 145
• LCM of 750, 728, 187, 387, 343
• LCM of 842, 529, 600, 773, 674
• LCM of 322, 689, 262, 611, 574
• LCM of 236, 466, 770, 846, 788

1. What is the LCM of 864, 896, 343, 121, 952?

Answer: LCM of 864, 896, 343, 121, 952 is 2438384256.

2. How to calculate the LCM of 864, 896, 343, 121, 952?

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 864, 896, 343, 121, 952.

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}.