Given numbers are 336,208,270,814,371

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

The LCM of 336,208,270,814,371 is 4239995760.

Find LCM of 336,208,270,814,371 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 1 x 13 x 45 x 407 x 53 = 4239995760

Therefore, the lowest common multiple of 336,208,270,814,371 is 4239995760.

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.

336 x 208 x 270 x 814 x 371 = 5698554301440

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

814 : 1, 2, 11, 22, 37, 74, 407, 814

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,208,270,814,371, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

208:2x 2x 2x 2x 13

270:2x 3x 3x 3x 5

814:2x 11x 37

371:7x 53

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 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 5698554301440/(1x1344)

LCM = 5698554301440/1344

LCM = 4239995760

Thus, we can understand that the LCM of 336,208,270,814,371 is 4239995760.

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

• LCM of 373, 228, 880, 802, 287
• LCM of 609, 378, 994, 325, 961
• LCM of 782, 753, 588, 360, 154
• LCM of 351, 288, 837, 653, 945
• LCM of 846, 510, 352, 458, 938

1. What is the LCM of 336, 208, 270, 814, 371?

Answer: LCM of 336, 208, 270, 814, 371 is 4239995760.

2. How to calculate the LCM of 336, 208, 270, 814, 371?

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 336, 208, 270, 814, 371.

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}.