Given numbers are 705,849,676,722

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

The LCM of 705,849,676,722 is 48688842540.

Find LCM of 705,849,676,722 with Prime Factorization

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

2 x 3 x 235 x 283 x 338 x 361 = 48688842540

Therefore, the lowest common multiple of 705,849,676,722 is 48688842540.

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 849 x 676 x 722 = 292133055240

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

849 : 1, 3, 283, 849

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,849,676,722, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

849:3x 283

676:2x 2x 13x 13

722:2x 19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 292133055240/(1x6)

LCM = 292133055240/6

LCM = 48688842540

Thus, we can understand that the LCM of 705,849,676,722 is 48688842540.

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

• LCM of 315, 582, 154, 256
• LCM of 744, 337, 904, 690
• LCM of 173, 309, 300, 127
• LCM of 785, 638, 248, 626
• LCM of 765, 678, 834, 380

1. What is the LCM of 705, 849, 676, 722?

Answer: LCM of 705, 849, 676, 722 is 48688842540.

2. How to calculate the LCM of 705, 849, 676, 722?

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, 849, 676, 722.

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}.