Given numbers are 249,408,653,677

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

The LCM of 249,408,653,677 is 14970630984.

Find LCM of 249,408,653,677 with Prime Factorization

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

3 x 83 x 136 x 653 x 677 = 14970630984

Therefore, the lowest common multiple of 249,408,653,677 is 14970630984.

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 408 x 653 x 677 = 44911892952

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

653 : 1, 653

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,408,653,677, is 1.

Now, the common factors can be found like this.

249:3x 83

408:2x 2x 2x 3x 17

653:653

677:677

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

3 = 3

Therefore, the value for common factors is 3.

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 = 44911892952/(1x3)

LCM = 44911892952/3

LCM = 14970630984

Thus, we can understand that the LCM of 249,408,653,677 is 14970630984.

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

• LCM of 404, 527, 985, 429
• LCM of 696, 734, 257, 196
• LCM of 932, 914, 106, 100
• LCM of 901, 905, 388, 985
• LCM of 196, 812, 973, 859

1. What is the LCM of 249, 408, 653, 677?

Answer: LCM of 249, 408, 653, 677 is 14970630984.

2. How to calculate the LCM of 249, 408, 653, 677?

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, 408, 653, 677.

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}.