Given numbers are 319,468,464,312,994

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

The LCM of 319,468,464,312,994 is 296792496.

Find LCM of 319,468,464,312,994 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 29 x 11 x 1 x 2 x 3 x 497 = 296792496

Therefore, the lowest common multiple of 319,468,464,312,994 is 296792496.

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.

319 x 468 x 464 x 312 x 994 = 21483028030464

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.

319 : 1, 11, 29, 319

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,468,464,312,994, is 1.

Now, the common factors can be found like this.

319:11x 29

468:2x 2x 3x 3x 13

464:2x 2x 2x 2x 29

312:2x 2x 2x 3x 13

994:2x 7x 71

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 13x 29 = 72384

Therefore, the value for common factors is 72384.

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 = 21483028030464/(1x72384)

LCM = 21483028030464/72384

LCM = 296792496

Thus, we can understand that the LCM of 319,468,464,312,994 is 296792496.

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

• LCM of 520, 542, 679, 855, 957
• LCM of 215, 440, 807, 267, 896
• LCM of 404, 986, 951, 310, 729
• LCM of 482, 682, 203, 259, 914
• LCM of 760, 969, 473, 318, 814

1. What is the LCM of 319, 468, 464, 312, 994?

Answer: LCM of 319, 468, 464, 312, 994 is 296792496.

2. How to calculate the LCM of 319, 468, 464, 312, 994?

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 319, 468, 464, 312, 994.

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}.