Given numbers are 208,248,412,720

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

The LCM of 208,248,412,720 is 29886480.

Find LCM of 208,248,412,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 31 x 103 x 45 = 29886480

Therefore, the lowest common multiple of 208,248,412,720 is 29886480.

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.

208 x 248 x 412 x 720 = 15301877760

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.

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

412 : 1, 2, 4, 103, 206, 412

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,248,412,720, is 4.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

248:2x 2x 2x 31

412:2x 2x 103

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

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 2 = 128

Therefore, the value for common factors is 128.

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 = 15301877760/(4x128)

LCM = 15301877760/512

LCM = 29886480

Thus, we can understand that the LCM of 208,248,412,720 is 29886480.

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

• LCM of 749, 464, 397, 727
• LCM of 978, 933, 410, 356
• LCM of 270, 711, 870, 437
• LCM of 824, 709, 656, 465
• LCM of 845, 887, 123, 172

1. What is the LCM of 208, 248, 412, 720?

Answer: LCM of 208, 248, 412, 720 is 29886480.

2. How to calculate the LCM of 208, 248, 412, 720?

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 208, 248, 412, 720.

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}.