Given numbers are 258,288,961,866

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

The LCM of 258,288,961,866 is 5153143392.

Find LCM of 258,288,961,866 with Prime Factorization

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

2 x 3 x 43 x 48 x 961 x 433 = 5153143392

Therefore, the lowest common multiple of 258,288,961,866 is 5153143392.

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 288 x 961 x 866 = 61837720704

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

961 : 1, 31, 961

866 : 1, 2, 433, 866

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,288,961,866, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

288:2x 2x 2x 2x 2x 3x 3

961:31x 31

866:2x 433

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 3 = 12

Therefore, the value for common factors is 12.

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 = 61837720704/(1x12)

LCM = 61837720704/12

LCM = 5153143392

Thus, we can understand that the LCM of 258,288,961,866 is 5153143392.

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

• LCM of 328, 707, 930, 246
• LCM of 815, 554, 399, 890
• LCM of 887, 227, 750, 106
• LCM of 942, 335, 556, 667
• LCM of 644, 340, 231, 384

1. What is the LCM of 258, 288, 961, 866?

Answer: LCM of 258, 288, 961, 866 is 5153143392.

2. How to calculate the LCM of 258, 288, 961, 866?

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, 288, 961, 866.

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}.