Given numbers are 418,596,462,403,494

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

The LCM of 418,596,462,403,494 is 1054185132.

Find LCM of 418,596,462,403,494 with Prime Factorization

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

2 x 11 x 13 x 19 x 1 x 298 x 21 x 31 x 1 = 1054185132

Therefore, the lowest common multiple of 418,596,462,403,494 is 1054185132.

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.

418 x 596 x 462 x 403 x 494 = 22913768029152

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

596 : 1, 2, 4, 149, 298, 596

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

403 : 1, 13, 31, 403

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,596,462,403,494, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

596:2x 2x 149

462:2x 3x 7x 11

403:13x 31

494:2x 13x 19

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 11x 13x 19 = 21736

Therefore, the value for common factors is 21736.

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 = 22913768029152/(1x21736)

LCM = 22913768029152/21736

LCM = 1054185132

Thus, we can understand that the LCM of 418,596,462,403,494 is 1054185132.

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

• LCM of 269, 735, 152, 354, 577
• LCM of 142, 594, 351, 105, 222
• LCM of 584, 605, 569, 108, 117
• LCM of 644, 917, 189, 771, 968
• LCM of 794, 405, 166, 401, 430

1. What is the LCM of 418, 596, 462, 403, 494?

Answer: LCM of 418, 596, 462, 403, 494 is 1054185132.

2. How to calculate the LCM of 418, 596, 462, 403, 494?

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 418, 596, 462, 403, 494.

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}.