Given numbers are 814,374,528,490,208

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

The LCM of 814,374,528,490,208 is 1057776720.

Find LCM of 814,374,528,490,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 37 x 17 x 3 x 245 x 13 = 1057776720

Therefore, the lowest common multiple of 814,374,528,490,208 is 1057776720.

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.

814 x 374 x 528 x 490 x 208 = 16382845839360

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.

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

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,374,528,490,208, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

374:2x 11x 17

528:2x 2x 2x 2x 3x 11

490:2x 5x 7x 7

208:2x 2x 2x 2x 13

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 11x 11 = 7744

Therefore, the value for common factors is 7744.

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 = 16382845839360/(2x7744)

LCM = 16382845839360/15488

LCM = 1057776720

Thus, we can understand that the LCM of 814,374,528,490,208 is 1057776720.

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

• LCM of 415, 278, 741, 557, 764
• LCM of 749, 304, 222, 238, 915
• LCM of 970, 252, 300, 155, 839
• LCM of 563, 646, 355, 871, 253
• LCM of 254, 463, 840, 176, 517

1. What is the LCM of 814, 374, 528, 490, 208?

Answer: LCM of 814, 374, 528, 490, 208 is 1057776720.

2. How to calculate the LCM of 814, 374, 528, 490, 208?

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 814, 374, 528, 490, 208.

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}.