Given numbers are 34,32,22,309

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

The LCM of 34,32,22,309 is 1849056.

Find LCM of 34,32,22,309 with Prime Factorization

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

2 x 17 x 16 x 11 x 309 = 1849056

Therefore, the lowest common multiple of 34,32,22,309 is 1849056.

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.

34 x 32 x 22 x 309 = 7396224

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.

34 : 1, 2, 17, 34

32 : 1, 2, 4, 8, 16, 32

22 : 1, 2, 11, 22

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 34,32,22,309, is 1.

Now, the common factors can be found like this.

34:2x 17

32:2x 2x 2x 2x 2

22:2x 11

309:3x 103

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 = 7396224/(1x4)

LCM = 7396224/4

LCM = 1849056

Thus, we can understand that the LCM of 34,32,22,309 is 1849056.

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

• LCM of 45, 61, 94, 650
• LCM of 46, 76, 80, 485
• LCM of 38, 94, 45, 376
• LCM of 82, 78, 24, 997
• LCM of 79, 81, 73, 302

1. What is the LCM of 34, 32, 22, 309?

Answer: LCM of 34, 32, 22, 309 is 1849056.

2. How to calculate the LCM of 34, 32, 22, 309?

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 34, 32, 22, 309.

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}.