Given numbers are 496,478,675,209,713

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

The LCM of 496,478,675,209,713 is 384642680400.

Find LCM of 496,478,675,209,713 with Prime Factorization

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

2 x 31 x 8 x 239 x 675 x 209 x 23 = 384642680400

Therefore, the lowest common multiple of 496,478,675,209,713 is 384642680400.

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.

496 x 478 x 675 x 209 x 713 = 23847846184800

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.

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

478 : 1, 2, 239, 478

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

209 : 1, 11, 19, 209

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,478,675,209,713, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

478:2x 239

675:3x 3x 3x 5x 5

209:11x 19

713:23x 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 31 = 62

Therefore, the value for common factors is 62.

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 = 23847846184800/(1x62)

LCM = 23847846184800/62

LCM = 384642680400

Thus, we can understand that the LCM of 496,478,675,209,713 is 384642680400.

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

• LCM of 736, 314, 273, 498, 858
• LCM of 297, 839, 457, 168, 999
• LCM of 649, 748, 994, 581, 506
• LCM of 321, 277, 597, 635, 573
• LCM of 795, 536, 190, 233, 930

1. What is the LCM of 496, 478, 675, 209, 713?

Answer: LCM of 496, 478, 675, 209, 713 is 384642680400.

2. How to calculate the LCM of 496, 478, 675, 209, 713?

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 496, 478, 675, 209, 713.

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}.