Given numbers are 206,207,102,318,744

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

The LCM of 206,207,102,318,744 is 4764134808.

Find LCM of 206,207,102,318,744 with Prime Factorization

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

2 x 3 x 103 x 69 x 17 x 53 x 124 = 4764134808

Therefore, the lowest common multiple of 206,207,102,318,744 is 4764134808.

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 207 x 102 x 318 x 744 = 1029053118528

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

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

318 : 1, 2, 3, 6, 53, 106, 159, 318

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,207,102,318,744, is 1.

Now, the common factors can be found like this.

206:2x 103

207:3x 3x 23

102:2x 3x 17

318:2x 3x 53

744:2x 2x 2x 3x 31

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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1029053118528/(1x216)

LCM = 1029053118528/216

LCM = 4764134808

Thus, we can understand that the LCM of 206,207,102,318,744 is 4764134808.

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

• LCM of 401, 339, 985, 204, 450
• LCM of 980, 366, 233, 910, 612
• LCM of 938, 392, 811, 527, 696
• LCM of 449, 277, 525, 725, 592
• LCM of 573, 342, 716, 227, 229

1. What is the LCM of 206, 207, 102, 318, 744?

Answer: LCM of 206, 207, 102, 318, 744 is 4764134808.

2. How to calculate the LCM of 206, 207, 102, 318, 744?

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, 207, 102, 318, 744.

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}.