Given numbers are 530,480,642,303

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

The LCM of 530,480,642,303 is 274930080.

Find LCM of 530,480,642,303 with Prime Factorization

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

2 x 3 x 5 x 53 x 16 x 107 x 101 = 274930080

Therefore, the lowest common multiple of 530,480,642,303 is 274930080.

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.

530 x 480 x 642 x 303 = 49487414400

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

642 : 1, 2, 3, 6, 107, 214, 321, 642

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,480,642,303, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

480:2x 2x 2x 2x 2x 3x 5

642:2x 3x 107

303:3x 101

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 49487414400/(1x180)

LCM = 49487414400/180

LCM = 274930080

Thus, we can understand that the LCM of 530,480,642,303 is 274930080.

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

• LCM of 451, 173, 685, 592
• LCM of 848, 599, 621, 910
• LCM of 961, 100, 997, 834
• LCM of 295, 295, 466, 648
• LCM of 825, 439, 516, 151

1. What is the LCM of 530, 480, 642, 303?

Answer: LCM of 530, 480, 642, 303 is 274930080.

2. How to calculate the LCM of 530, 480, 642, 303?

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 530, 480, 642, 303.

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}.