Given numbers are 206,401,349,762

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

The LCM of 206,401,349,762 is 10984037214.

Find LCM of 206,401,349,762 with Prime Factorization

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

2 x 103 x 401 x 349 x 381 = 10984037214

Therefore, the lowest common multiple of 206,401,349,762 is 10984037214.

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.

206 x 401 x 349 x 762 = 21968074428

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.

206 : 1, 2, 103, 206

401 : 1, 401

349 : 1, 349

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,401,349,762, is 1.

Now, the common factors can be found like this.

206:2x 103

401:401

349:349

762:2x 3x 127

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21968074428/(1x2)

LCM = 21968074428/2

LCM = 10984037214

Thus, we can understand that the LCM of 206,401,349,762 is 10984037214.

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

• LCM of 846, 364, 486, 706
• LCM of 824, 149, 157, 180
• LCM of 447, 196, 644, 802
• LCM of 404, 551, 726, 850
• LCM of 980, 784, 691, 572

1. What is the LCM of 206, 401, 349, 762?

Answer: LCM of 206, 401, 349, 762 is 10984037214.

2. How to calculate the LCM of 206, 401, 349, 762?

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 206, 401, 349, 762.

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}.