Given numbers are 212,816,624,332

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

The LCM of 212,816,624,332 is 46664592.

Find LCM of 212,816,624,332 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 53 x 17 x 13 x 83 = 46664592

Therefore, the lowest common multiple of 212,816,624,332 is 46664592.

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.

212 x 816 x 624 x 332 = 35838406656

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.

212 : 1, 2, 4, 53, 106, 212

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

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

332 : 1, 2, 4, 83, 166, 332

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,816,624,332, is 4.

Now, the common factors can be found like this.

212:2x 2x 53

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

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

332:2x 2x 83

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 3 = 192

Therefore, the value for common factors is 192.

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 = 35838406656/(4x192)

LCM = 35838406656/768

LCM = 46664592

Thus, we can understand that the LCM of 212,816,624,332 is 46664592.

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

• LCM of 558, 359, 385, 286
• LCM of 487, 825, 685, 182
• LCM of 756, 699, 779, 274
• LCM of 571, 219, 794, 885
• LCM of 650, 967, 556, 657

1. What is the LCM of 212, 816, 624, 332?

Answer: LCM of 212, 816, 624, 332 is 46664592.

2. How to calculate the LCM of 212, 816, 624, 332?

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 212, 816, 624, 332.

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}.