Given numbers are 705,454,496,838,643

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

The LCM of 705,454,496,838,643 is 21385610199120.

Find LCM of 705,454,496,838,643 with Prime Factorization

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

2 x 705 x 227 x 248 x 419 x 643 = 21385610199120

Therefore, the lowest common multiple of 705,454,496,838,643 is 21385610199120.

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.

705 x 454 x 496 x 838 x 643 = 85542440796480

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

454 : 1, 2, 227, 454

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

838 : 1, 2, 419, 838

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,454,496,838,643, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

454:2x 227

496:2x 2x 2x 2x 31

838:2x 419

643:643

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 = 85542440796480/(1x4)

LCM = 85542440796480/4

LCM = 21385610199120

Thus, we can understand that the LCM of 705,454,496,838,643 is 21385610199120.

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

• LCM of 620, 322, 570, 254, 242
• LCM of 191, 793, 810, 839, 405
• LCM of 233, 261, 635, 730, 123
• LCM of 564, 197, 765, 441, 472
• LCM of 387, 796, 246, 970, 156

1. What is the LCM of 705, 454, 496, 838, 643?

Answer: LCM of 705, 454, 496, 838, 643 is 21385610199120.

2. How to calculate the LCM of 705, 454, 496, 838, 643?

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 705, 454, 496, 838, 643.

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}.