Given numbers are 746,723,741,414

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

The LCM of 746,723,741,414 is 9192278394.

Find LCM of 746,723,741,414 with Prime Factorization

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

2 x 3 x 373 x 241 x 247 x 69 = 9192278394

Therefore, the lowest common multiple of 746,723,741,414 is 9192278394.

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.

746 x 723 x 741 x 414 = 165461011092

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.

746 : 1, 2, 373, 746

723 : 1, 3, 241, 723

741 : 1, 3, 13, 19, 39, 57, 247, 741

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 746,723,741,414, is 1.

Now, the common factors can be found like this.

746:2x 373

723:3x 241

741:3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 165461011092/(1x18)

LCM = 165461011092/18

LCM = 9192278394

Thus, we can understand that the LCM of 746,723,741,414 is 9192278394.

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

• LCM of 941, 607, 701, 398
• LCM of 657, 526, 213, 763
• LCM of 444, 903, 303, 448
• LCM of 703, 675, 153, 854
• LCM of 566, 634, 734, 219

1. What is the LCM of 746, 723, 741, 414?

Answer: LCM of 746, 723, 741, 414 is 9192278394.

2. How to calculate the LCM of 746, 723, 741, 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 746, 723, 741, 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}.