Given numbers are 867,17,306

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

The LCM of 867,17,306 is 5202.

Find LCM of 867,17,306 with Prime Factorization

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

3 x 17 x 1 x 17 x 6 = 5202

Therefore, the lowest common multiple of 867,17,306 is 5202.

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.

867 x 17 x 306 = 4510134

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.

867 : 1, 3, 17, 51, 289, 867

17 : 1, 17

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

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,17,306, is 17.

Now, the common factors can be found like this.

867:3x 17x 17

17:17

306:2x 3x 3x 17

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 4510134/(17x51)

LCM = 4510134/867

LCM = 5202

Thus, we can understand that the LCM of 867,17,306 is 5202.

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

• LCM of 163, 12, 253
• LCM of 275, 71, 529
• LCM of 314, 56, 348
• LCM of 939, 98, 210
• LCM of 184, 86, 868

1. What is the LCM of 867, 17, 306?

Answer: LCM of 867, 17, 306 is 5202.

2. How to calculate the LCM of 867, 17, 306?

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 867, 17, 306.

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}.