Given numbers are 302,304,792,464

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

The LCM of 302,304,792,464 is 131790384.

Find LCM of 302,304,792,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 151 x 19 x 99 x 29 = 131790384

Therefore, the lowest common multiple of 302,304,792,464 is 131790384.

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.

302 x 304 x 792 x 464 = 33738338304

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.

302 : 1, 2, 151, 302

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,304,792,464, is 2.

Now, the common factors can be found like this.

302:2x 151

304:2x 2x 2x 2x 19

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

464:2x 2x 2x 2x 29

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 2 = 128

Therefore, the value for common factors is 128.

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 = 33738338304/(2x128)

LCM = 33738338304/256

LCM = 131790384

Thus, we can understand that the LCM of 302,304,792,464 is 131790384.

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

• LCM of 229, 366, 376, 333
• LCM of 313, 295, 403, 583
• LCM of 393, 859, 789, 336
• LCM of 383, 792, 223, 846
• LCM of 166, 324, 575, 995

1. What is the LCM of 302, 304, 792, 464?

Answer: LCM of 302, 304, 792, 464 is 131790384.

2. How to calculate the LCM of 302, 304, 792, 464?

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 302, 304, 792, 464.

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}.