Given numbers are 208,341,816,374

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

The LCM of 208,341,816,374 is 3617328.

Find LCM of 208,341,816,374 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 17 x 13 x 31 x 3 x 1 = 3617328

Therefore, the lowest common multiple of 208,341,816,374 is 3617328.

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 341 x 816 x 374 = 21646090752

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

341 : 1, 11, 31, 341

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,341,816,374, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

341:11x 31

816:2x 2x 2x 2x 3x 17

374:2x 11x 17

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 11x 17 = 5984

Therefore, the value for common factors is 5984.

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 = 21646090752/(1x5984)

LCM = 21646090752/5984

LCM = 3617328

Thus, we can understand that the LCM of 208,341,816,374 is 3617328.

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

• LCM of 527, 505, 488, 992
• LCM of 179, 202, 557, 458
• LCM of 970, 108, 741, 724
• LCM of 871, 738, 761, 764
• LCM of 451, 656, 525, 273

1. What is the LCM of 208, 341, 816, 374?

Answer: LCM of 208, 341, 816, 374 is 3617328.

2. How to calculate the LCM of 208, 341, 816, 374?

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, 341, 816, 374.

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}.