Given numbers are 228,266,149,325

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

The LCM of 228,266,149,325 is 77286300.

Find LCM of 228,266,149,325 with Prime Factorization

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

2 x 19 x 6 x 7 x 149 x 325 = 77286300

Therefore, the lowest common multiple of 228,266,149,325 is 77286300.

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.

228 x 266 x 149 x 325 = 2936879400

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

266 : 1, 2, 7, 14, 19, 38, 133, 266

149 : 1, 149

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,266,149,325, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

266:2x 7x 19

149:149

325:5x 5x 13

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 2936879400/(1x38)

LCM = 2936879400/38

LCM = 77286300

Thus, we can understand that the LCM of 228,266,149,325 is 77286300.

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

• LCM of 536, 911, 932, 431
• LCM of 734, 256, 595, 620
• LCM of 512, 594, 372, 537
• LCM of 181, 692, 994, 435
• LCM of 144, 936, 630, 153

1. What is the LCM of 228, 266, 149, 325?

Answer: LCM of 228, 266, 149, 325 is 77286300.

2. How to calculate the LCM of 228, 266, 149, 325?

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 228, 266, 149, 325.

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}.