Given numbers are 304,318,261,269

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

The LCM of 304,318,261,269 is 1131207408.

Find LCM of 304,318,261,269 with Prime Factorization

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

2 x 3 x 152 x 53 x 87 x 269 = 1131207408

Therefore, the lowest common multiple of 304,318,261,269 is 1131207408.

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 318 x 261 x 269 = 6787244448

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

261 : 1, 3, 9, 29, 87, 261

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,318,261,269, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

318:2x 3x 53

261:3x 3x 29

269:269

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 6787244448/(1x6)

LCM = 6787244448/6

LCM = 1131207408

Thus, we can understand that the LCM of 304,318,261,269 is 1131207408.

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

• LCM of 965, 895, 463, 255
• LCM of 194, 200, 839, 702
• LCM of 199, 728, 826, 395
• LCM of 401, 799, 895, 737
• LCM of 269, 651, 115, 105

1. What is the LCM of 304, 318, 261, 269?

Answer: LCM of 304, 318, 261, 269 is 1131207408.

2. How to calculate the LCM of 304, 318, 261, 269?

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, 318, 261, 269.

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}.