Given numbers are 496,628,460,211

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

The LCM of 496,628,460,211 is 1889564080.

Find LCM of 496,628,460,211 with Prime Factorization

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

2 x 2 x 124 x 157 x 115 x 211 = 1889564080

Therefore, the lowest common multiple of 496,628,460,211 is 1889564080.

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 628 x 460 x 211 = 30233025280

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

628 : 1, 2, 4, 157, 314, 628

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,628,460,211, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

628:2x 2x 157

460:2x 2x 5x 23

211:211

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 2 = 16

Therefore, the value for common factors is 16.

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 = 30233025280/(1x16)

LCM = 30233025280/16

LCM = 1889564080

Thus, we can understand that the LCM of 496,628,460,211 is 1889564080.

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

• LCM of 499, 431, 467, 644
• LCM of 760, 835, 414, 657
• LCM of 743, 742, 824, 302
• LCM of 963, 338, 118, 849
• LCM of 112, 769, 357, 209

1. What is the LCM of 496, 628, 460, 211?

Answer: LCM of 496, 628, 460, 211 is 1889564080.

2. How to calculate the LCM of 496, 628, 460, 211?

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, 628, 460, 211.

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}.