Given numbers are 249,756,526,192,636

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

The LCM of 249,756,526,192,636 is 13994309952.

Find LCM of 249,756,526,192,636 with Prime Factorization

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

2 x 2 x 3 x 83 x 63 x 263 x 16 x 53 = 13994309952

Therefore, the lowest common multiple of 249,756,526,192,636 is 13994309952.

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.

249 x 756 x 526 x 192 x 636 = 12091083798528

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.

249 : 1, 3, 83, 249

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

526 : 1, 2, 263, 526

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,756,526,192,636, is 1.

Now, the common factors can be found like this.

249:3x 83

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

526:2x 263

192:2x 2x 2x 2x 2x 2x 3

636:2x 2x 3x 53

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 = 12091083798528/(1x864)

LCM = 12091083798528/864

LCM = 13994309952

Thus, we can understand that the LCM of 249,756,526,192,636 is 13994309952.

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

• LCM of 931, 307, 531, 579, 611
• LCM of 989, 978, 676, 242, 120
• LCM of 802, 578, 510, 696, 180
• LCM of 241, 979, 995, 694, 355
• LCM of 900, 502, 727, 159, 718

1. What is the LCM of 249, 756, 526, 192, 636?

Answer: LCM of 249, 756, 526, 192, 636 is 13994309952.

2. How to calculate the LCM of 249, 756, 526, 192, 636?

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 249, 756, 526, 192, 636.

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}.