Given numbers are 552,406,592,460,226

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

The LCM of 552,406,592,460,226 is 4685061360.

Find LCM of 552,406,592,460,226 with Prime Factorization

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

2 x 2 x 2 x 23 x 3 x 203 x 74 x 5 x 113 = 4685061360

Therefore, the lowest common multiple of 552,406,592,460,226 is 4685061360.

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.

552 x 406 x 592 x 460 x 226 = 13792820643840

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.

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

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

226 : 1, 2, 113, 226

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,406,592,460,226, is 2.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

406:2x 7x 29

592:2x 2x 2x 2x 37

460:2x 2x 5x 23

226:2x 113

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 2x 23 = 1472

Therefore, the value for common factors is 1472.

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 = 13792820643840/(2x1472)

LCM = 13792820643840/2944

LCM = 4685061360

Thus, we can understand that the LCM of 552,406,592,460,226 is 4685061360.

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

• LCM of 263, 392, 824, 165, 944
• LCM of 154, 487, 675, 444, 937
• LCM of 724, 561, 733, 448, 928
• LCM of 322, 708, 612, 865, 461
• LCM of 386, 741, 183, 648, 327

1. What is the LCM of 552, 406, 592, 460, 226?

Answer: LCM of 552, 406, 592, 460, 226 is 4685061360.

2. How to calculate the LCM of 552, 406, 592, 460, 226?

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 552, 406, 592, 460, 226.

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}.