Given numbers are 496,211,772,849

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

The LCM of 496,211,772,849 is 17148618192.

Find LCM of 496,211,772,849 with Prime Factorization

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

2 x 2 x 124 x 211 x 193 x 849 = 17148618192

Therefore, the lowest common multiple of 496,211,772,849 is 17148618192.

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 211 x 772 x 849 = 68594472768

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

211 : 1, 211

772 : 1, 2, 4, 193, 386, 772

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,211,772,849, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

211:211

772:2x 2x 193

849:3x 283

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 = 68594472768/(1x4)

LCM = 68594472768/4

LCM = 17148618192

Thus, we can understand that the LCM of 496,211,772,849 is 17148618192.

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

• LCM of 970, 290, 891, 233
• LCM of 442, 487, 985, 832
• LCM of 642, 131, 200, 158
• LCM of 162, 340, 606, 544
• LCM of 449, 433, 504, 664

1. What is the LCM of 496, 211, 772, 849?

Answer: LCM of 496, 211, 772, 849 is 17148618192.

2. How to calculate the LCM of 496, 211, 772, 849?

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, 211, 772, 849.

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}.