Given numbers are 264,132,590,270,919

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

The LCM of 264,132,590,270,919 is 644145480.

Find LCM of 264,132,590,270,919 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 1 x 2 x 59 x 9 x 919 = 644145480

Therefore, the lowest common multiple of 264,132,590,270,919 is 644145480.

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 132 x 590 x 270 x 919 = 5101632201600

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

590 : 1, 2, 5, 10, 59, 118, 295, 590

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,132,590,270,919, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

132:2x 2x 3x 11

590:2x 5x 59

270:2x 3x 3x 3x 5

919:919

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 3x 3x 5x 11 = 7920

Therefore, the value for common factors is 7920.

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 = 5101632201600/(1x7920)

LCM = 5101632201600/7920

LCM = 644145480

Thus, we can understand that the LCM of 264,132,590,270,919 is 644145480.

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

• LCM of 361, 359, 322, 791, 266
• LCM of 372, 580, 568, 304, 360
• LCM of 464, 484, 646, 906, 691
• LCM of 828, 336, 490, 457, 614
• LCM of 325, 405, 949, 152, 109

1. What is the LCM of 264, 132, 590, 270, 919?

Answer: LCM of 264, 132, 590, 270, 919 is 644145480.

2. How to calculate the LCM of 264, 132, 590, 270, 919?

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, 132, 590, 270, 919.

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}.