Given numbers are 496,643,722,910,546

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

The LCM of 496,643,722,910,546 is 157156555920.

Find LCM of 496,643,722,910,546 with Prime Factorization

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

2 x 7 x 13 x 248 x 643 x 361 x 5 x 3 = 157156555920

Therefore, the lowest common multiple of 496,643,722,910,546 is 157156555920.

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 643 x 722 x 910 x 546 = 114409972709760

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

643 : 1, 643

722 : 1, 2, 19, 38, 361, 722

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,643,722,910,546, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

643:643

722:2x 19x 19

910:2x 5x 7x 13

546:2x 3x 7x 13

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 114409972709760/(1x728)

LCM = 114409972709760/728

LCM = 157156555920

Thus, we can understand that the LCM of 496,643,722,910,546 is 157156555920.

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

• LCM of 143, 154, 707, 130, 768
• LCM of 981, 214, 146, 328, 492
• LCM of 153, 601, 795, 346, 943
• LCM of 730, 845, 799, 712, 858
• LCM of 557, 856, 257, 287, 120

1. What is the LCM of 496, 643, 722, 910, 546?

Answer: LCM of 496, 643, 722, 910, 546 is 157156555920.

2. How to calculate the LCM of 496, 643, 722, 910, 546?

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, 643, 722, 910, 546.

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}.