Given numbers are 496,414,104,185

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

The LCM of 496,414,104,185 is 246926160.

Find LCM of 496,414,104,185 with Prime Factorization

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

2 x 2 x 2 x 62 x 207 x 13 x 185 = 246926160

Therefore, the lowest common multiple of 496,414,104,185 is 246926160.

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.

496 x 414 x 104 x 185 = 3950818560

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

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

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,414,104,185, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

414:2x 3x 3x 23

104:2x 2x 2x 13

185:5x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3950818560/(1x16)

LCM = 3950818560/16

LCM = 246926160

Thus, we can understand that the LCM of 496,414,104,185 is 246926160.

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

• LCM of 746, 703, 997, 336
• LCM of 164, 189, 476, 231
• LCM of 485, 141, 301, 188
• LCM of 821, 433, 827, 333
• LCM of 798, 583, 939, 704

1. What is the LCM of 496, 414, 104, 185?

Answer: LCM of 496, 414, 104, 185 is 246926160.

2. How to calculate the LCM of 496, 414, 104, 185?

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 496, 414, 104, 185.

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}.