Given numbers are 537,924,816,966

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

The LCM of 537,924,816,966 is 258679344.

Find LCM of 537,924,816,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 179 x 11 x 68 x 23 = 258679344

Therefore, the lowest common multiple of 537,924,816,966 is 258679344.

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.

537 x 924 x 816 x 966 = 391123168128

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.

537 : 1, 3, 179, 537

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,924,816,966, is 3.

Now, the common factors can be found like this.

537:3x 179

924:2x 2x 3x 7x 11

816:2x 2x 2x 2x 3x 17

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 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 391123168128/(3x504)

LCM = 391123168128/1512

LCM = 258679344

Thus, we can understand that the LCM of 537,924,816,966 is 258679344.

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

• LCM of 352, 280, 710, 815
• LCM of 484, 623, 704, 763
• LCM of 204, 821, 804, 252
• LCM of 454, 963, 919, 250
• LCM of 274, 835, 672, 737

1. What is the LCM of 537, 924, 816, 966?

Answer: LCM of 537, 924, 816, 966 is 258679344.

2. How to calculate the LCM of 537, 924, 816, 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 537, 924, 816, 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}.