Given numbers are 304,912,133,552

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

The LCM of 304,912,133,552 is 146832.

Find LCM of 304,912,133,552 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 1 x 1 x 7 x 23 = 146832

Therefore, the lowest common multiple of 304,912,133,552 is 146832.

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 912 x 133 x 552 = 20354439168

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

133 : 1, 7, 19, 133

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,912,133,552, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

912:2x 2x 2x 2x 3x 19

133:7x 19

552:2x 2x 2x 3x 23

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 2x 3x 19x 19 = 138624

Therefore, the value for common factors is 138624.

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 = 20354439168/(1x138624)

LCM = 20354439168/138624

LCM = 146832

Thus, we can understand that the LCM of 304,912,133,552 is 146832.

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

• LCM of 940, 669, 585, 155
• LCM of 206, 431, 855, 781
• LCM of 416, 730, 411, 229
• LCM of 646, 540, 433, 623
• LCM of 469, 613, 440, 720

1. What is the LCM of 304, 912, 133, 552?

Answer: LCM of 304, 912, 133, 552 is 146832.

2. How to calculate the LCM of 304, 912, 133, 552?

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, 912, 133, 552.

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}.