Given numbers are 338,540,416,848

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

The LCM of 338,540,416,848 is 38694240.

Find LCM of 338,540,416,848 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 13 x 135 x 2 x 53 = 38694240

Therefore, the lowest common multiple of 338,540,416,848 is 38694240.

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.

338 x 540 x 416 x 848 = 64387215360

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.

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,540,416,848, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

540:2x 2x 3x 3x 3x 5

416:2x 2x 2x 2x 2x 13

848:2x 2x 2x 2x 53

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 13 = 832

Therefore, the value for common factors is 832.

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 = 64387215360/(2x832)

LCM = 64387215360/1664

LCM = 38694240

Thus, we can understand that the LCM of 338,540,416,848 is 38694240.

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

• LCM of 409, 585, 131, 190
• LCM of 938, 432, 763, 935
• LCM of 893, 796, 669, 223
• LCM of 404, 617, 475, 628
• LCM of 822, 964, 187, 353

1. What is the LCM of 338, 540, 416, 848?

Answer: LCM of 338, 540, 416, 848 is 38694240.

2. How to calculate the LCM of 338, 540, 416, 848?

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 338, 540, 416, 848.

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}.