Given numbers are 264,283,990,546

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

The LCM of 264,283,990,546 is 101981880.

Find LCM of 264,283,990,546 with Prime Factorization

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

2 x 3 x 11 x 4 x 283 x 15 x 91 = 101981880

Therefore, the lowest common multiple of 264,283,990,546 is 101981880.

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 283 x 990 x 546 = 40384824480

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

283 : 1, 283

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,283,990,546, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

283:283

990:2x 3x 3x 5x 11

546:2x 3x 7x 13

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 = 40384824480/(1x396)

LCM = 40384824480/396

LCM = 101981880

Thus, we can understand that the LCM of 264,283,990,546 is 101981880.

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

• LCM of 927, 435, 901, 401
• LCM of 237, 352, 373, 177
• LCM of 980, 651, 933, 727
• LCM of 569, 582, 679, 245
• LCM of 664, 847, 387, 454

1. What is the LCM of 264, 283, 990, 546?

Answer: LCM of 264, 283, 990, 546 is 101981880.

2. How to calculate the LCM of 264, 283, 990, 546?

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, 283, 990, 546.

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}.