Given numbers are 418,756,804,680,906

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

The LCM of 418,756,804,680,906 is 271749499560.

Find LCM of 418,756,804,680,906 with Prime Factorization

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

2 x 2 x 3 x 209 x 63 x 67 x 170 x 151 = 271749499560

Therefore, the lowest common multiple of 418,756,804,680,906 is 271749499560.

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.

418 x 756 x 804 x 680 x 906 = 156527711746560

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.

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

906 : 1, 2, 3, 6, 151, 302, 453, 906

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,756,804,680,906, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

756:2x 2x 3x 3x 3x 7

804:2x 2x 3x 67

680:2x 2x 2x 5x 17

906:2x 3x 151

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 156527711746560/(2x288)

LCM = 156527711746560/576

LCM = 271749499560

Thus, we can understand that the LCM of 418,756,804,680,906 is 271749499560.

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

• LCM of 536, 973, 718, 176, 935
• LCM of 855, 617, 609, 645, 417
• LCM of 497, 614, 284, 313, 967
• LCM of 733, 910, 500, 969, 722
• LCM of 418, 272, 715, 406, 820

1. What is the LCM of 418, 756, 804, 680, 906?

Answer: LCM of 418, 756, 804, 680, 906 is 271749499560.

2. How to calculate the LCM of 418, 756, 804, 680, 906?

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 418, 756, 804, 680, 906.

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}.