Given numbers are 402,424,539,636,990

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

The LCM of 402,424,539,636,990 is 689036040.

Find LCM of 402,424,539,636,990 with Prime Factorization

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

2 x 2 x 3 x 11 x 53 x 67 x 2 x 49 x 1 x 15 = 689036040

Therefore, the lowest common multiple of 402,424,539,636,990 is 689036040.

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.

402 x 424 x 539 x 636 x 990 = 57845953630080

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

424 : 1, 2, 4, 8, 53, 106, 212, 424

539 : 1, 7, 11, 49, 77, 539

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,424,539,636,990, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

424:2x 2x 2x 53

539:7x 7x 11

636:2x 2x 3x 53

990:2x 3x 3x 5x 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 3x 3x 11x 53 = 83952

Therefore, the value for common factors is 83952.

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 = 57845953630080/(1x83952)

LCM = 57845953630080/83952

LCM = 689036040

Thus, we can understand that the LCM of 402,424,539,636,990 is 689036040.

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

• LCM of 519, 975, 495, 212, 329
• LCM of 284, 577, 801, 890, 293
• LCM of 320, 373, 961, 109, 455
• LCM of 690, 723, 817, 821, 967
• LCM of 850, 536, 270, 844, 618

1. What is the LCM of 402, 424, 539, 636, 990?

Answer: LCM of 402, 424, 539, 636, 990 is 689036040.

2. How to calculate the LCM of 402, 424, 539, 636, 990?

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 402, 424, 539, 636, 990.

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}.