Given numbers are 457,618,789,946,728

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

The LCM of 457,618,789,946,728 is 12788598358536.

Find LCM of 457,618,789,946,728 with Prime Factorization

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

2 x 3 x 457 x 103 x 263 x 473 x 364 = 12788598358536

Therefore, the lowest common multiple of 457,618,789,946,728 is 12788598358536.

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.

457 x 618 x 789 x 946 x 728 = 153463180302432

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.

457 : 1, 457

618 : 1, 2, 3, 6, 103, 206, 309, 618

789 : 1, 3, 263, 789

946 : 1, 2, 11, 22, 43, 86, 473, 946

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,618,789,946,728, is 1.

Now, the common factors can be found like this.

457:457

618:2x 3x 103

789:3x 263

946:2x 11x 43

728:2x 2x 2x 7x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 153463180302432/(1x12)

LCM = 153463180302432/12

LCM = 12788598358536

Thus, we can understand that the LCM of 457,618,789,946,728 is 12788598358536.

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

• LCM of 995, 294, 484, 294, 724
• LCM of 560, 266, 363, 250, 256
• LCM of 150, 778, 230, 209, 111
• LCM of 326, 442, 751, 530, 787
• LCM of 967, 604, 779, 105, 905

1. What is the LCM of 457, 618, 789, 946, 728?

Answer: LCM of 457, 618, 789, 946, 728 is 12788598358536.

2. How to calculate the LCM of 457, 618, 789, 946, 728?

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 457, 618, 789, 946, 728.

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}.