Given numbers are 300,690,566,207

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

The LCM of 300,690,566,207 is 5858100.

Find LCM of 300,690,566,207 with Prime Factorization

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

2 x 3 x 5 x 23 x 10 x 1 x 283 x 3 = 5858100

Therefore, the lowest common multiple of 300,690,566,207 is 5858100.

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.

300 x 690 x 566 x 207 = 24252534000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

566 : 1, 2, 283, 566

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,690,566,207, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

690:2x 3x 5x 23

566:2x 283

207:3x 3x 23

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 3x 3x 5x 23 = 4140

Therefore, the value for common factors is 4140.

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 = 24252534000/(1x4140)

LCM = 24252534000/4140

LCM = 5858100

Thus, we can understand that the LCM of 300,690,566,207 is 5858100.

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

• LCM of 515, 834, 814, 292
• LCM of 296, 443, 520, 271
• LCM of 551, 836, 972, 744
• LCM of 678, 915, 353, 511
• LCM of 310, 113, 534, 603

1. What is the LCM of 300, 690, 566, 207?

Answer: LCM of 300, 690, 566, 207 is 5858100.

2. How to calculate the LCM of 300, 690, 566, 207?

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 300, 690, 566, 207.

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}.