Given numbers are 208,448,416,239

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

The LCM of 208,448,416,239 is 1391936.

Find LCM of 208,448,416,239 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 13 x 1 x 14 x 1 x 239 = 1391936

Therefore, the lowest common multiple of 208,448,416,239 is 1391936.

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 448 x 416 x 239 = 9264726016

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,448,416,239, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

448:2x 2x 2x 2x 2x 2x 7

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

239:239

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 2x 2x 2x 13 = 6656

Therefore, the value for common factors is 6656.

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 = 9264726016/(1x6656)

LCM = 9264726016/6656

LCM = 1391936

Thus, we can understand that the LCM of 208,448,416,239 is 1391936.

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

• LCM of 424, 625, 826, 363
• LCM of 657, 572, 809, 741
• LCM of 855, 705, 465, 614
• LCM of 316, 798, 995, 248
• LCM of 919, 316, 254, 444

1. What is the LCM of 208, 448, 416, 239?

Answer: LCM of 208, 448, 416, 239 is 1391936.

2. How to calculate the LCM of 208, 448, 416, 239?

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, 448, 416, 239.

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}.