Given numbers are 399,642,266,676,414

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

The LCM of 399,642,266,676,414 is 1991372292.

Find LCM of 399,642,266,676,414 with Prime Factorization

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

2 x 3 x 7 x 19 x 1 x 107 x 1 x 338 x 69 = 1991372292

Therefore, the lowest common multiple of 399,642,266,676,414 is 1991372292.

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.

399 x 642 x 266 x 676 x 414 = 19069381068192

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

642 : 1, 2, 3, 6, 107, 214, 321, 642

266 : 1, 2, 7, 14, 19, 38, 133, 266

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,642,266,676,414, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

642:2x 3x 107

266:2x 7x 19

676:2x 2x 13x 13

414:2x 3x 3x 23

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 3x 3x 7x 19 = 9576

Therefore, the value for common factors is 9576.

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 = 19069381068192/(1x9576)

LCM = 19069381068192/9576

LCM = 1991372292

Thus, we can understand that the LCM of 399,642,266,676,414 is 1991372292.

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

• LCM of 399, 333, 900, 865, 387
• LCM of 910, 501, 471, 778, 556
• LCM of 325, 785, 306, 924, 705
• LCM of 819, 486, 174, 950, 687
• LCM of 335, 814, 767, 256, 788

1. What is the LCM of 399, 642, 266, 676, 414?

Answer: LCM of 399, 642, 266, 676, 414 is 1991372292.

2. How to calculate the LCM of 399, 642, 266, 676, 414?

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 399, 642, 266, 676, 414.

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}.