Given numbers are 946,440,408,235,670

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

The LCM of 946,440,408,235,670 is 3038533080.

Find LCM of 946,440,408,235,670 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 43 x 1 x 51 x 47 x 67 = 3038533080

Therefore, the lowest common multiple of 946,440,408,235,670 is 3038533080.

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.

946 x 440 x 408 x 235 x 670 = 26739091104000

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.

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

235 : 1, 5, 47, 235

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,440,408,235,670, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

440:2x 2x 2x 5x 11

408:2x 2x 2x 3x 17

235:5x 47

670:2x 5x 67

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 5x 5x 11 = 8800

Therefore, the value for common factors is 8800.

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 = 26739091104000/(1x8800)

LCM = 26739091104000/8800

LCM = 3038533080

Thus, we can understand that the LCM of 946,440,408,235,670 is 3038533080.

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

• LCM of 967, 447, 119, 443, 557
• LCM of 146, 808, 383, 469, 278
• LCM of 230, 663, 590, 357, 401
• LCM of 194, 654, 878, 413, 958
• LCM of 521, 827, 346, 571, 172

1. What is the LCM of 946, 440, 408, 235, 670?

Answer: LCM of 946, 440, 408, 235, 670 is 3038533080.

2. How to calculate the LCM of 946, 440, 408, 235, 670?

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 946, 440, 408, 235, 670.

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}.