Given numbers are 216,9356,149

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

The LCM of 216,9356,149 is 75278376.

Find LCM of 216,9356,149 with Prime Factorization

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

2 x 2 x 54 x 2339 x 149 = 75278376

Therefore, the lowest common multiple of 216,9356,149 is 75278376.

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.

216 x 9356 x 149 = 301113504

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

9356 : 1, 2, 4, 2339, 4678, 9356

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,9356,149, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

9356:2x 2x 2339

149:149

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 = 301113504/(1x4)

LCM = 301113504/4

LCM = 75278376

Thus, we can understand that the LCM of 216,9356,149 is 75278376.

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

• LCM of 253, 7993, 130
• LCM of 474, 5782, 146
• LCM of 947, 8318, 888
• LCM of 170, 1724, 756
• LCM of 540, 5765, 951

1. What is the LCM of 216, 9356, 149?

Answer: LCM of 216, 9356, 149 is 75278376.

2. How to calculate the LCM of 216, 9356, 149?

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 216, 9356, 149.

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}.