Given numbers are 355,924,546,966

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

The LCM of 355,924,546,966 is 98077980.

Find LCM of 355,924,546,966 with Prime Factorization

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

2 x 3 x 7 x 355 x 22 x 13 x 23 = 98077980

Therefore, the lowest common multiple of 355,924,546,966 is 98077980.

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.

355 x 924 x 546 x 966 = 173009556720

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.

355 : 1, 5, 71, 355

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,924,546,966, is 1.

Now, the common factors can be found like this.

355:5x 71

924:2x 2x 3x 7x 11

546:2x 3x 7x 13

966:2x 3x 7x 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 2x 3x 3x 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 173009556720/(1x1764)

LCM = 173009556720/1764

LCM = 98077980

Thus, we can understand that the LCM of 355,924,546,966 is 98077980.

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

• LCM of 147, 299, 326, 146
• LCM of 648, 827, 830, 671
• LCM of 809, 217, 336, 690
• LCM of 919, 308, 626, 364
• LCM of 330, 483, 697, 247

1. What is the LCM of 355, 924, 546, 966?

Answer: LCM of 355, 924, 546, 966 is 98077980.

2. How to calculate the LCM of 355, 924, 546, 966?

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 355, 924, 546, 966.

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}.