Given numbers are 338,222,720,462

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

The LCM of 338,222,720,462 is 346666320.

Find LCM of 338,222,720,462 with Prime Factorization

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

2 x 3 x 169 x 37 x 120 x 77 = 346666320

Therefore, the lowest common multiple of 338,222,720,462 is 346666320.

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 222 x 720 x 462 = 24959975040

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

222 : 1, 2, 3, 6, 37, 74, 111, 222

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,222,720,462, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

222:2x 3x 37

720:2x 2x 2x 2x 3x 3x 5

462:2x 3x 7x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 24959975040/(2x36)

LCM = 24959975040/72

LCM = 346666320

Thus, we can understand that the LCM of 338,222,720,462 is 346666320.

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

• LCM of 499, 711, 383, 620
• LCM of 441, 571, 821, 918
• LCM of 269, 944, 141, 501
• LCM of 829, 219, 448, 583
• LCM of 400, 600, 186, 136

1. What is the LCM of 338, 222, 720, 462?

Answer: LCM of 338, 222, 720, 462 is 346666320.

2. How to calculate the LCM of 338, 222, 720, 462?

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, 222, 720, 462.

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}.