Given numbers are 304,241,725,348

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

The LCM of 304,241,725,348 is 159349200.

Find LCM of 304,241,725,348 with Prime Factorization

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

2 x 2 x 29 x 76 x 241 x 25 x 3 = 159349200

Therefore, the lowest common multiple of 304,241,725,348 is 159349200.

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 241 x 725 x 348 = 18484507200

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

241 : 1, 241

725 : 1, 5, 25, 29, 145, 725

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,241,725,348, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

241:241

725:5x 5x 29

348:2x 2x 3x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 18484507200/(1x116)

LCM = 18484507200/116

LCM = 159349200

Thus, we can understand that the LCM of 304,241,725,348 is 159349200.

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

• LCM of 242, 917, 258, 391
• LCM of 400, 560, 510, 228
• LCM of 850, 437, 320, 640
• LCM of 814, 133, 372, 973
• LCM of 833, 956, 917, 596

1. What is the LCM of 304, 241, 725, 348?

Answer: LCM of 304, 241, 725, 348 is 159349200.

2. How to calculate the LCM of 304, 241, 725, 348?

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, 241, 725, 348.

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}.