Given numbers are 264,249,922,750,407

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

The LCM of 264,249,922,750,407 is 46719123000.

Find LCM of 264,249,922,750,407 with Prime Factorization

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

2 x 3 x 11 x 4 x 83 x 461 x 125 x 37 = 46719123000

Therefore, the lowest common multiple of 264,249,922,750,407 is 46719123000.

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.

264 x 249 x 922 x 750 x 407 = 18500772708000

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

249 : 1, 3, 83, 249

922 : 1, 2, 461, 922

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,249,922,750,407, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

249:3x 83

922:2x 461

750:2x 3x 5x 5x 5

407:11x 37

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 18500772708000/(1x396)

LCM = 18500772708000/396

LCM = 46719123000

Thus, we can understand that the LCM of 264,249,922,750,407 is 46719123000.

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

• LCM of 171, 102, 258, 621, 676
• LCM of 298, 931, 411, 978, 822
• LCM of 781, 798, 776, 401, 654
• LCM of 444, 129, 501, 112, 821
• LCM of 769, 502, 701, 125, 122

1. What is the LCM of 264, 249, 922, 750, 407?

Answer: LCM of 264, 249, 922, 750, 407 is 46719123000.

2. How to calculate the LCM of 264, 249, 922, 750, 407?

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 264, 249, 922, 750, 407.

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}.