Given numbers are 480,935,689,418

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

The LCM of 480,935,689,418 is 1175048160.

Find LCM of 480,935,689,418 with Prime Factorization

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

2 x 5 x 11 x 48 x 17 x 689 x 19 = 1175048160

Therefore, the lowest common multiple of 480,935,689,418 is 1175048160.

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.

480 x 935 x 689 x 418 = 129255297600

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

935 : 1, 5, 11, 17, 55, 85, 187, 935

689 : 1, 13, 53, 689

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,935,689,418, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

935:5x 11x 17

689:13x 53

418:2x 11x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 129255297600/(1x110)

LCM = 129255297600/110

LCM = 1175048160

Thus, we can understand that the LCM of 480,935,689,418 is 1175048160.

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

• LCM of 153, 949, 304, 103
• LCM of 502, 548, 280, 412
• LCM of 718, 829, 634, 601
• LCM of 237, 759, 459, 279
• LCM of 631, 287, 320, 825

1. What is the LCM of 480, 935, 689, 418?

Answer: LCM of 480, 935, 689, 418 is 1175048160.

2. How to calculate the LCM of 480, 935, 689, 418?

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 480, 935, 689, 418.

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}.