Given numbers are 263,921,494,414

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

The LCM of 263,921,494,414 is 8256413178.

Find LCM of 263,921,494,414 with Prime Factorization

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

2 x 3 x 263 x 307 x 247 x 69 = 8256413178

Therefore, the lowest common multiple of 263,921,494,414 is 8256413178.

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.

263 x 921 x 494 x 414 = 49538479068

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.

263 : 1, 263

921 : 1, 3, 307, 921

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

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 263,921,494,414, is 1.

Now, the common factors can be found like this.

263:263

921:3x 307

494:2x 13x 19

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 3 = 6

Therefore, the value for common factors is 6.

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 = 49538479068/(1x6)

LCM = 49538479068/6

LCM = 8256413178

Thus, we can understand that the LCM of 263,921,494,414 is 8256413178.

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

• LCM of 506, 891, 863, 753
• LCM of 397, 164, 334, 668
• LCM of 678, 367, 524, 377
• LCM of 281, 498, 959, 861
• LCM of 809, 634, 104, 222

1. What is the LCM of 263, 921, 494, 414?

Answer: LCM of 263, 921, 494, 414 is 8256413178.

2. How to calculate the LCM of 263, 921, 494, 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 263, 921, 494, 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}.