Given numbers are 460,128,229,836,356

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

The LCM of 460,128,229,836,356 is 62701738880.

Find LCM of 460,128,229,836,356 with Prime Factorization

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

2 x 2 x 115 x 32 x 229 x 209 x 89 = 62701738880

Therefore, the lowest common multiple of 460,128,229,836,356 is 62701738880.

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 128 x 229 x 836 x 356 = 4012911288320

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

229 : 1, 229

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,128,229,836,356, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

128:2x 2x 2x 2x 2x 2x 2

229:229

836:2x 2x 11x 19

356:2x 2x 89

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 2 = 64

Therefore, the value for common factors is 64.

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 = 4012911288320/(1x64)

LCM = 4012911288320/64

LCM = 62701738880

Thus, we can understand that the LCM of 460,128,229,836,356 is 62701738880.

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

• LCM of 271, 815, 309, 296, 374
• LCM of 823, 984, 495, 560, 275
• LCM of 402, 136, 235, 410, 169
• LCM of 669, 515, 890, 517, 244
• LCM of 210, 572, 517, 514, 620

1. What is the LCM of 460, 128, 229, 836, 356?

Answer: LCM of 460, 128, 229, 836, 356 is 62701738880.

2. How to calculate the LCM of 460, 128, 229, 836, 356?

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, 128, 229, 836, 356.

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}.