Given numbers are 466,391,988,298,945

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

The LCM of 466,391,988,298,945 is 12673824820020.

Find LCM of 466,391,988,298,945 with Prime Factorization

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

2 x 233 x 391 x 494 x 149 x 945 = 12673824820020

Therefore, the lowest common multiple of 466,391,988,298,945 is 12673824820020.

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.

466 x 391 x 988 x 298 x 945 = 50695299280080

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.

466 : 1, 2, 233, 466

391 : 1, 17, 23, 391

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

298 : 1, 2, 149, 298

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,391,988,298,945, is 1.

Now, the common factors can be found like this.

466:2x 233

391:17x 23

988:2x 2x 13x 19

298:2x 149

945:3x 3x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 50695299280080/(1x4)

LCM = 50695299280080/4

LCM = 12673824820020

Thus, we can understand that the LCM of 466,391,988,298,945 is 12673824820020.

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

• LCM of 322, 222, 233, 155, 516
• LCM of 490, 588, 740, 720, 439
• LCM of 978, 665, 929, 651, 287
• LCM of 891, 193, 806, 524, 721
• LCM of 189, 214, 631, 510, 570

1. What is the LCM of 466, 391, 988, 298, 945?

Answer: LCM of 466, 391, 988, 298, 945 is 12673824820020.

2. How to calculate the LCM of 466, 391, 988, 298, 945?

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 466, 391, 988, 298, 945.

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}.