Given numbers are 330,350,128,528

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

The LCM of 330,350,128,528 is 739200.

Find LCM of 330,350,128,528 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 35 x 8 x 1 = 739200

Therefore, the lowest common multiple of 330,350,128,528 is 739200.

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.

330 x 350 x 128 x 528 = 7805952000

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

128 : 1, 2, 4, 8, 16, 32, 64, 128

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,350,128,528, is 2.

Now, the common factors can be found like this.

330:2x 3x 5x 11

350:2x 5x 5x 7

128:2x 2x 2x 2x 2x 2x 2

528:2x 2x 2x 2x 3x 11

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 5x 11 = 5280

Therefore, the value for common factors is 5280.

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 = 7805952000/(2x5280)

LCM = 7805952000/10560

LCM = 739200

Thus, we can understand that the LCM of 330,350,128,528 is 739200.

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

• LCM of 813, 257, 428, 952
• LCM of 105, 249, 851, 663
• LCM of 858, 253, 534, 269
• LCM of 685, 856, 940, 430
• LCM of 461, 336, 356, 473

1. What is the LCM of 330, 350, 128, 528?

Answer: LCM of 330, 350, 128, 528 is 739200.

2. How to calculate the LCM of 330, 350, 128, 528?

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 330, 350, 128, 528.

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}.