Given numbers are 304,398,228,750,428

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

The LCM of 304,398,228,750,428 is 2427402000.

Find LCM of 304,398,228,750,428 with Prime Factorization

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

2 x 2 x 3 x 19 x 4 x 199 x 1 x 125 x 107 = 2427402000

Therefore, the lowest common multiple of 304,398,228,750,428 is 2427402000.

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 398 x 228 x 750 x 428 = 8855162496000

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

398 : 1, 2, 199, 398

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

428 : 1, 2, 4, 107, 214, 428

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,398,228,750,428, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

398:2x 199

228:2x 2x 3x 19

750:2x 3x 5x 5x 5

428:2x 2x 107

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 3x 19 = 1824

Therefore, the value for common factors is 1824.

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 = 8855162496000/(2x1824)

LCM = 8855162496000/3648

LCM = 2427402000

Thus, we can understand that the LCM of 304,398,228,750,428 is 2427402000.

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

• LCM of 952, 662, 378, 743, 357
• LCM of 710, 478, 217, 757, 973
• LCM of 614, 208, 549, 409, 940
• LCM of 471, 874, 836, 653, 426
• LCM of 206, 409, 582, 470, 357

1. What is the LCM of 304, 398, 228, 750, 428?

Answer: LCM of 304, 398, 228, 750, 428 is 2427402000.

2. How to calculate the LCM of 304, 398, 228, 750, 428?

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, 398, 228, 750, 428.

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}.