Given numbers are 861,312,438,816

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

The LCM of 861,312,438,816 is 222248208.

Find LCM of 861,312,438,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 287 x 13 x 73 x 34 = 222248208

Therefore, the lowest common multiple of 861,312,438,816 is 222248208.

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.

861 x 312 x 438 x 816 = 96011225856

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,312,438,816, is 3.

Now, the common factors can be found like this.

861:3x 7x 41

312:2x 2x 2x 3x 13

438:2x 3x 73

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 96011225856/(3x144)

LCM = 96011225856/432

LCM = 222248208

Thus, we can understand that the LCM of 861,312,438,816 is 222248208.

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

• LCM of 132, 563, 964, 305
• LCM of 152, 535, 481, 122
• LCM of 985, 830, 997, 114
• LCM of 196, 876, 647, 683
• LCM of 319, 906, 815, 410

1. What is the LCM of 861, 312, 438, 816?

Answer: LCM of 861, 312, 438, 816 is 222248208.

2. How to calculate the LCM of 861, 312, 438, 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 861, 312, 438, 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}.