Given numbers are 966,176,624,376

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

The LCM of 966,176,624,376 is 51939888.

Find LCM of 966,176,624,376 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 161 x 11 x 13 x 47 = 51939888

Therefore, the lowest common multiple of 966,176,624,376 is 51939888.

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.

966 x 176 x 624 x 376 = 39889833984

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.

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

376 : 1, 2, 4, 8, 47, 94, 188, 376

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,176,624,376, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

176:2x 2x 2x 2x 11

624:2x 2x 2x 2x 3x 13

376:2x 2x 2x 47

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 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 39889833984/(2x384)

LCM = 39889833984/768

LCM = 51939888

Thus, we can understand that the LCM of 966,176,624,376 is 51939888.

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

• LCM of 133, 484, 653, 838
• LCM of 367, 832, 189, 431
• LCM of 515, 606, 449, 787
• LCM of 212, 345, 120, 438
• LCM of 829, 705, 746, 450

1. What is the LCM of 966, 176, 624, 376?

Answer: LCM of 966, 176, 624, 376 is 51939888.

2. How to calculate the LCM of 966, 176, 624, 376?

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 966, 176, 624, 376.

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}.