Given numbers are 258,864,247,908,564

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

The LCM of 258,864,247,908,564 is 97904547936.

Find LCM of 258,864,247,908,564 with Prime Factorization

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

2 x 2 x 3 x 43 x 72 x 247 x 227 x 47 = 97904547936

Therefore, the lowest common multiple of 258,864,247,908,564 is 97904547936.

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.

258 x 864 x 247 x 908 x 564 = 28196509805568

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

247 : 1, 13, 19, 247

908 : 1, 2, 4, 227, 454, 908

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,864,247,908,564, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

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

247:13x 19

908:2x 2x 227

564:2x 2x 3x 47

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 28196509805568/(1x288)

LCM = 28196509805568/288

LCM = 97904547936

Thus, we can understand that the LCM of 258,864,247,908,564 is 97904547936.

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

• LCM of 422, 116, 472, 544, 760
• LCM of 735, 178, 643, 215, 224
• LCM of 870, 615, 206, 297, 232
• LCM of 288, 152, 867, 473, 170
• LCM of 436, 953, 498, 367, 948

1. What is the LCM of 258, 864, 247, 908, 564?

Answer: LCM of 258, 864, 247, 908, 564 is 97904547936.

2. How to calculate the LCM of 258, 864, 247, 908, 564?

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 258, 864, 247, 908, 564.

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}.