Given numbers are 234,964,912,816

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

The LCM of 234,964,912,816 is 145722096.

Find LCM of 234,964,912,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 39 x 241 x 19 x 17 = 145722096

Therefore, the lowest common multiple of 234,964,912,816 is 145722096.

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.

234 x 964 x 912 x 816 = 167871854592

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

964 : 1, 2, 4, 241, 482, 964

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,964,912,816, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

964:2x 2x 241

912:2x 2x 2x 2x 3x 19

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

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 167871854592/(2x576)

LCM = 167871854592/1152

LCM = 145722096

Thus, we can understand that the LCM of 234,964,912,816 is 145722096.

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

• LCM of 164, 438, 575, 441
• LCM of 362, 337, 876, 697
• LCM of 305, 714, 833, 568
• LCM of 334, 749, 580, 715
• LCM of 526, 804, 405, 663

1. What is the LCM of 234, 964, 912, 816?

Answer: LCM of 234, 964, 912, 816 is 145722096.

2. How to calculate the LCM of 234, 964, 912, 816?

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 234, 964, 912, 816.

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}.