Given numbers are 363,731,540,242,507

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

The LCM of 363,731,540,242,507 is 8072038260.

Find LCM of 363,731,540,242,507 with Prime Factorization

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

2 x 3 x 11 x 11 x 1 x 731 x 90 x 1 x 169 = 8072038260

Therefore, the lowest common multiple of 363,731,540,242,507 is 8072038260.

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.

363 x 731 x 540 x 242 x 507 = 17580899330280

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.

363 : 1, 3, 11, 33, 121, 363

731 : 1, 17, 43, 731

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

242 : 1, 2, 11, 22, 121, 242

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,731,540,242,507, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

731:17x 43

540:2x 2x 3x 3x 3x 5

242:2x 11x 11

507:3x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 11x 11 = 2178

Therefore, the value for common factors is 2178.

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 = 17580899330280/(1x2178)

LCM = 17580899330280/2178

LCM = 8072038260

Thus, we can understand that the LCM of 363,731,540,242,507 is 8072038260.

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

• LCM of 561, 369, 831, 881, 206
• LCM of 555, 816, 433, 650, 197
• LCM of 723, 317, 411, 177, 931
• LCM of 772, 843, 786, 503, 284
• LCM of 981, 920, 458, 303, 304

1. What is the LCM of 363, 731, 540, 242, 507?

Answer: LCM of 363, 731, 540, 242, 507 is 8072038260.

2. How to calculate the LCM of 363, 731, 540, 242, 507?

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 363, 731, 540, 242, 507.

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}.