Given numbers are 208,455,328,478

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

The LCM of 208,455,328,478 is 71336720.

Find LCM of 208,455,328,478 with Prime Factorization

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

2 x 2 x 2 x 13 x 2 x 35 x 41 x 239 = 71336720

Therefore, the lowest common multiple of 208,455,328,478 is 71336720.

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 455 x 328 x 478 = 14838037760

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

328 : 1, 2, 4, 8, 41, 82, 164, 328

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,455,328,478, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

455:5x 7x 13

328:2x 2x 2x 41

478:2x 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 13 = 208

Therefore, the value for common factors is 208.

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 = 14838037760/(1x208)

LCM = 14838037760/208

LCM = 71336720

Thus, we can understand that the LCM of 208,455,328,478 is 71336720.

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

• LCM of 395, 535, 268, 807
• LCM of 823, 468, 121, 613
• LCM of 655, 541, 316, 712
• LCM of 183, 478, 551, 948
• LCM of 318, 677, 375, 226

1. What is the LCM of 208, 455, 328, 478?

Answer: LCM of 208, 455, 328, 478 is 71336720.

2. How to calculate the LCM of 208, 455, 328, 478?

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, 455, 328, 478.

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}.