Given numbers are 499,420,756,208,747

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

The LCM of 499,420,756,208,747 is 8140925520.

Find LCM of 499,420,756,208,747 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 499 x 5 x 3 x 52 x 83 = 8140925520

Therefore, the lowest common multiple of 499,420,756,208,747 is 8140925520.

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.

499 x 420 x 756 x 208 x 747 = 24618158772480

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.

499 : 1, 499

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,420,756,208,747, is 1.

Now, the common factors can be found like this.

499:499

420:2x 2x 3x 5x 7

756:2x 2x 3x 3x 3x 7

208:2x 2x 2x 2x 13

747:3x 3x 83

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 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 24618158772480/(1x3024)

LCM = 24618158772480/3024

LCM = 8140925520

Thus, we can understand that the LCM of 499,420,756,208,747 is 8140925520.

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

• LCM of 614, 945, 260, 265, 649
• LCM of 539, 323, 404, 499, 239
• LCM of 390, 142, 649, 475, 899
• LCM of 281, 243, 924, 773, 826
• LCM of 978, 751, 135, 856, 955

1. What is the LCM of 499, 420, 756, 208, 747?

Answer: LCM of 499, 420, 756, 208, 747 is 8140925520.

2. How to calculate the LCM of 499, 420, 756, 208, 747?

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 499, 420, 756, 208, 747.

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}.