Given numbers are 794,826,724,414

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

The LCM of 794,826,724,414 is 24572507148.

Find LCM of 794,826,724,414 with Prime Factorization

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

2 x 397 x 413 x 362 x 207 = 24572507148

Therefore, the lowest common multiple of 794,826,724,414 is 24572507148.

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.

794 x 826 x 724 x 414 = 196580057184

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.

794 : 1, 2, 397, 794

826 : 1, 2, 7, 14, 59, 118, 413, 826

724 : 1, 2, 4, 181, 362, 724

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,826,724,414, is 2.

Now, the common factors can be found like this.

794:2x 397

826:2x 7x 59

724:2x 2x 181

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 2 = 4

Therefore, the value for common factors is 4.

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 = 196580057184/(2x4)

LCM = 196580057184/8

LCM = 24572507148

Thus, we can understand that the LCM of 794,826,724,414 is 24572507148.

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

• LCM of 931, 162, 718, 268
• LCM of 337, 222, 835, 995
• LCM of 425, 144, 401, 314
• LCM of 191, 308, 585, 876
• LCM of 992, 313, 198, 206

1. What is the LCM of 794, 826, 724, 414?

Answer: LCM of 794, 826, 724, 414 is 24572507148.

2. How to calculate the LCM of 794, 826, 724, 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 794, 826, 724, 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}.