Given numbers are 269,460,592,552,231

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

The LCM of 269,460,592,552,231 is 4230423120.

Find LCM of 269,460,592,552,231 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 269 x 5 x 74 x 1 x 77 = 4230423120

Therefore, the lowest common multiple of 269,460,592,552,231 is 4230423120.

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.

269 x 460 x 592 x 552 x 231 = 9340774248960

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.

269 : 1, 269

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,460,592,552,231, is 1.

Now, the common factors can be found like this.

269:269

460:2x 2x 5x 23

592:2x 2x 2x 2x 37

552:2x 2x 2x 3x 23

231:3x 7x 11

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 2x 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 9340774248960/(1x2208)

LCM = 9340774248960/2208

LCM = 4230423120

Thus, we can understand that the LCM of 269,460,592,552,231 is 4230423120.

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

• LCM of 700, 901, 807, 508, 789
• LCM of 772, 515, 911, 383, 443
• LCM of 675, 922, 342, 535, 983
• LCM of 693, 481, 181, 204, 220
• LCM of 686, 864, 328, 886, 801

1. What is the LCM of 269, 460, 592, 552, 231?

Answer: LCM of 269, 460, 592, 552, 231 is 4230423120.

2. How to calculate the LCM of 269, 460, 592, 552, 231?

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 269, 460, 592, 552, 231.

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}.