Given numbers are 460,542,221,559

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

The LCM of 460,542,221,559 is 1184643980.

Find LCM of 460,542,221,559 with Prime Factorization

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

2 x 13 x 230 x 271 x 17 x 43 = 1184643980

Therefore, the lowest common multiple of 460,542,221,559 is 1184643980.

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.

460 x 542 x 221 x 559 = 30800743480

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.

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

542 : 1, 2, 271, 542

221 : 1, 13, 17, 221

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,542,221,559, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

542:2x 271

221:13x 17

559:13x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 30800743480/(1x26)

LCM = 30800743480/26

LCM = 1184643980

Thus, we can understand that the LCM of 460,542,221,559 is 1184643980.

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

• LCM of 705, 400, 261, 660
• LCM of 927, 124, 868, 768
• LCM of 471, 320, 848, 124
• LCM of 171, 316, 253, 332
• LCM of 217, 985, 238, 902

1. What is the LCM of 460, 542, 221, 559?

Answer: LCM of 460, 542, 221, 559 is 1184643980.

2. How to calculate the LCM of 460, 542, 221, 559?

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 460, 542, 221, 559.

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}.