Given numbers are 792,888,326,744

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

The LCM of 792,888,326,744 is 148073112.

Find LCM of 792,888,326,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 33 x 37 x 163 x 31 = 148073112

Therefore, the lowest common multiple of 792,888,326,744 is 148073112.

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.

792 x 888 x 326 x 744 = 170580225024

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

326 : 1, 2, 163, 326

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,888,326,744, is 2.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

888:2x 2x 2x 3x 37

326:2x 163

744:2x 2x 2x 3x 31

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 = 170580225024/(2x576)

LCM = 170580225024/1152

LCM = 148073112

Thus, we can understand that the LCM of 792,888,326,744 is 148073112.

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

• LCM of 138, 225, 633, 818
• LCM of 304, 883, 743, 113
• LCM of 324, 310, 137, 616
• LCM of 409, 397, 204, 265
• LCM of 617, 950, 493, 644

1. What is the LCM of 792, 888, 326, 744?

Answer: LCM of 792, 888, 326, 744 is 148073112.

2. How to calculate the LCM of 792, 888, 326, 744?

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 792, 888, 326, 744.

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}.