Given numbers are 304,156,135,208

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

The LCM of 304,156,135,208 is 533520.

Find LCM of 304,156,135,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 19 x 1 x 45 x 1 = 533520

Therefore, the lowest common multiple of 304,156,135,208 is 533520.

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.

304 x 156 x 135 x 208 = 1331665920

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

135 : 1, 3, 5, 9, 15, 27, 45, 135

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,156,135,208, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

156:2x 2x 3x 13

135:3x 3x 3x 5

208:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 1331665920/(1x2496)

LCM = 1331665920/2496

LCM = 533520

Thus, we can understand that the LCM of 304,156,135,208 is 533520.

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

• LCM of 847, 784, 644, 130
• LCM of 831, 187, 482, 251
• LCM of 217, 778, 735, 789
• LCM of 698, 404, 619, 494
• LCM of 994, 932, 358, 446

1. What is the LCM of 304, 156, 135, 208?

Answer: LCM of 304, 156, 135, 208 is 533520.

2. How to calculate the LCM of 304, 156, 135, 208?

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 304, 156, 135, 208.

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}.