Given numbers are 473,264,304,331,792

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

The LCM of 473,264,304,331,792 is 428356368.

Find LCM of 473,264,304,331,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 43 x 1 x 38 x 331 x 3 = 428356368

Therefore, the lowest common multiple of 473,264,304,331,792 is 428356368.

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.

473 x 264 x 304 x 331 x 792 = 9951575141376

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.

473 : 1, 11, 43, 473

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

331 : 1, 331

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,264,304,331,792, is 1.

Now, the common factors can be found like this.

473:11x 43

264:2x 2x 2x 3x 11

304:2x 2x 2x 2x 19

331:331

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

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 11x 11 = 23232

Therefore, the value for common factors is 23232.

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 = 9951575141376/(1x23232)

LCM = 9951575141376/23232

LCM = 428356368

Thus, we can understand that the LCM of 473,264,304,331,792 is 428356368.

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

• LCM of 404, 453, 645, 115, 337
• LCM of 525, 346, 556, 731, 866
• LCM of 567, 466, 222, 618, 338
• LCM of 573, 378, 638, 832, 291
• LCM of 540, 747, 355, 274, 570

1. What is the LCM of 473, 264, 304, 331, 792?

Answer: LCM of 473, 264, 304, 331, 792 is 428356368.

2. How to calculate the LCM of 473, 264, 304, 331, 792?

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 473, 264, 304, 331, 792.

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}.