Given numbers are 306,208,350,661

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

The LCM of 306,208,350,661 is 3681241200.

Find LCM of 306,208,350,661 with Prime Factorization

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

2 x 153 x 104 x 175 x 661 = 3681241200

Therefore, the lowest common multiple of 306,208,350,661 is 3681241200.

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.

306 x 208 x 350 x 661 = 14724964800

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,208,350,661, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

208:2x 2x 2x 2x 13

350:2x 5x 5x 7

661:661

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 = 14724964800/(1x4)

LCM = 14724964800/4

LCM = 3681241200

Thus, we can understand that the LCM of 306,208,350,661 is 3681241200.

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

• LCM of 583, 640, 457, 235
• LCM of 144, 912, 503, 762
• LCM of 978, 864, 733, 429
• LCM of 640, 725, 588, 850
• LCM of 814, 507, 607, 699

1. What is the LCM of 306, 208, 350, 661?

Answer: LCM of 306, 208, 350, 661 is 3681241200.

2. How to calculate the LCM of 306, 208, 350, 661?

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 306, 208, 350, 661.

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}.