Given numbers are 493,334,391,219

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

The LCM of 493,334,391,219 is 829402494.

Find LCM of 493,334,391,219 with Prime Factorization

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

17 x 29 x 334 x 23 x 219 = 829402494

Therefore, the lowest common multiple of 493,334,391,219 is 829402494.

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.

493 x 334 x 391 x 219 = 14099842398

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.

493 : 1, 17, 29, 493

334 : 1, 2, 167, 334

391 : 1, 17, 23, 391

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,334,391,219, is 1.

Now, the common factors can be found like this.

493:17x 29

334:2x 167

391:17x 23

219:3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17 = 17

Therefore, the value for common factors is 17.

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 = 14099842398/(1x17)

LCM = 14099842398/17

LCM = 829402494

Thus, we can understand that the LCM of 493,334,391,219 is 829402494.

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

• LCM of 210, 672, 740, 977
• LCM of 132, 917, 997, 664
• LCM of 183, 527, 554, 483
• LCM of 769, 469, 792, 289
• LCM of 188, 733, 703, 503

1. What is the LCM of 493, 334, 391, 219?

Answer: LCM of 493, 334, 391, 219 is 829402494.

2. How to calculate the LCM of 493, 334, 391, 219?

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 493, 334, 391, 219.

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}.