Given numbers are 36,34,64,389

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

The LCM of 36,34,64,389 is 3809088.

Find LCM of 36,34,64,389 with Prime Factorization

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

2 x 2 x 9 x 17 x 16 x 389 = 3809088

Therefore, the lowest common multiple of 36,34,64,389 is 3809088.

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.

36 x 34 x 64 x 389 = 30472704

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.

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

34 : 1, 2, 17, 34

64 : 1, 2, 4, 8, 16, 32, 64

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 36,34,64,389, is 1.

Now, the common factors can be found like this.

36:2x 2x 3x 3

34:2x 17

64:2x 2x 2x 2x 2x 2

389:389

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 2 = 8

Therefore, the value for common factors is 8.

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 = 30472704/(1x8)

LCM = 30472704/8

LCM = 3809088

Thus, we can understand that the LCM of 36,34,64,389 is 3809088.

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

• LCM of 34, 49, 45, 311
• LCM of 67, 72, 85, 557
• LCM of 17, 50, 36, 905
• LCM of 39, 55, 85, 599
• LCM of 83, 61, 72, 621

1. What is the LCM of 36, 34, 64, 389?

Answer: LCM of 36, 34, 64, 389 is 3809088.

2. How to calculate the LCM of 36, 34, 64, 389?

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 36, 34, 64, 389.

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}.