Given numbers are 612,420,283,642,528

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

The LCM of 612,420,283,642,528 is 28539236880.

Find LCM of 612,420,283,642,528 with Prime Factorization

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

2 x 2 x 3 x 51 x 35 x 283 x 107 x 44 = 28539236880

Therefore, the lowest common multiple of 612,420,283,642,528 is 28539236880.

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.

612 x 420 x 283 x 642 x 528 = 24657900664320

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

283 : 1, 283

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,420,283,642,528, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

420:2x 2x 3x 5x 7

283:283

642:2x 3x 107

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 24657900664320/(1x864)

LCM = 24657900664320/864

LCM = 28539236880

Thus, we can understand that the LCM of 612,420,283,642,528 is 28539236880.

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

• LCM of 171, 859, 712, 739, 297
• LCM of 934, 113, 533, 684, 770
• LCM of 250, 675, 645, 664, 145
• LCM of 655, 868, 806, 956, 247
• LCM of 839, 870, 890, 728, 520

1. What is the LCM of 612, 420, 283, 642, 528?

Answer: LCM of 612, 420, 283, 642, 528 is 28539236880.

2. How to calculate the LCM of 612, 420, 283, 642, 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 612, 420, 283, 642, 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}.