Given numbers are 528,990,660,759

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

The LCM of 528,990,660,759 is 182160.

Find LCM of 528,990,660,759 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 4 x 1 x 3 x 23 = 182160

Therefore, the lowest common multiple of 528,990,660,759 is 182160.

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.

528 x 990 x 660 x 759 = 261851356800

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.

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

759 : 1, 3, 11, 23, 33, 69, 253, 759

33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,990,660,759, is 33.

Now, the common factors can be found like this.

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

990:2x 3x 3x 5x 11

660:2x 2x 3x 5x 11

759:3x 11x 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 3x 3x 5x 11x 11 = 43560

Therefore, the value for common factors is 43560.

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 = 261851356800/(33x43560)

LCM = 261851356800/1437480

LCM = 182160

Thus, we can understand that the LCM of 528,990,660,759 is 182160.

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

• LCM of 548, 817, 580, 506
• LCM of 365, 222, 999, 176
• LCM of 783, 698, 849, 771
• LCM of 123, 320, 800, 477
• LCM of 152, 357, 891, 693

1. What is the LCM of 528, 990, 660, 759?

Answer: LCM of 528, 990, 660, 759 is 182160.

2. How to calculate the LCM of 528, 990, 660, 759?

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 528, 990, 660, 759.

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}.