Given numbers are 460,104,338,368

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

The LCM of 460,104,338,368 is 310960.

Find LCM of 460,104,338,368 with Prime Factorization

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

2 x 2 x 2 x 13 x 23 x 5 x 1 x 13 x 2 = 310960

Therefore, the lowest common multiple of 460,104,338,368 is 310960.

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 104 x 338 x 368 = 5950530560

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

338 : 1, 2, 13, 26, 169, 338

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,104,338,368, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

104:2x 2x 2x 13

338:2x 13x 13

368:2x 2x 2x 2x 23

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 13x 23 = 9568

Therefore, the value for common factors is 9568.

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 = 5950530560/(2x9568)

LCM = 5950530560/19136

LCM = 310960

Thus, we can understand that the LCM of 460,104,338,368 is 310960.

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

• LCM of 433, 224, 460, 294
• LCM of 588, 978, 668, 865
• LCM of 768, 672, 418, 721
• LCM of 817, 149, 816, 571
• LCM of 463, 581, 651, 510

1. What is the LCM of 460, 104, 338, 368?

Answer: LCM of 460, 104, 338, 368 is 310960.

2. How to calculate the LCM of 460, 104, 338, 368?

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, 104, 338, 368.

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}.