Given numbers are 363,993,496,478,434

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

The LCM of 363,993,496,478,434 is 99703920624.

Find LCM of 363,993,496,478,434 with Prime Factorization

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

2 x 3 x 31 x 121 x 331 x 8 x 239 x 7 = 99703920624

Therefore, the lowest common multiple of 363,993,496,478,434 is 99703920624.

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.

363 x 993 x 496 x 478 x 434 = 37089858472128

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.

363 : 1, 3, 11, 33, 121, 363

993 : 1, 3, 331, 993

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

478 : 1, 2, 239, 478

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,993,496,478,434, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

993:3x 331

496:2x 2x 2x 2x 31

478:2x 239

434:2x 7x 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 3x 31 = 372

Therefore, the value for common factors is 372.

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 = 37089858472128/(1x372)

LCM = 37089858472128/372

LCM = 99703920624

Thus, we can understand that the LCM of 363,993,496,478,434 is 99703920624.

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

• LCM of 279, 281, 297, 189, 478
• LCM of 348, 587, 489, 104, 505
• LCM of 315, 941, 223, 907, 339
• LCM of 379, 937, 790, 283, 168
• LCM of 504, 587, 835, 780, 785

1. What is the LCM of 363, 993, 496, 478, 434?

Answer: LCM of 363, 993, 496, 478, 434 is 99703920624.

2. How to calculate the LCM of 363, 993, 496, 478, 434?

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 363, 993, 496, 478, 434.

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}.