Given numbers are 823,310,438,628

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

The LCM of 823,310,438,628 is 17544269580.

Find LCM of 823,310,438,628 with Prime Factorization

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

2 x 823 x 155 x 219 x 314 = 17544269580

Therefore, the lowest common multiple of 823,310,438,628 is 17544269580.

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.

823 x 310 x 438 x 628 = 70177078320

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.

823 : 1, 823

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,310,438,628, is 1.

Now, the common factors can be found like this.

823:823

310:2x 5x 31

438:2x 3x 73

628:2x 2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 70177078320/(1x4)

LCM = 70177078320/4

LCM = 17544269580

Thus, we can understand that the LCM of 823,310,438,628 is 17544269580.

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

• LCM of 563, 609, 806, 211
• LCM of 328, 222, 476, 674
• LCM of 501, 322, 152, 172
• LCM of 623, 590, 170, 661
• LCM of 382, 423, 381, 174

1. What is the LCM of 823, 310, 438, 628?

Answer: LCM of 823, 310, 438, 628 is 17544269580.

2. How to calculate the LCM of 823, 310, 438, 628?

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 823, 310, 438, 628.

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}.