Given numbers are 249,957,291,381

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

The LCM of 249,957,291,381 is 978510489.

Find LCM of 249,957,291,381 with Prime Factorization

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

3 x 83 x 319 x 97 x 127 = 978510489

Therefore, the lowest common multiple of 249,957,291,381 is 978510489.

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 957 x 291 x 381 = 26419783203

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

957 : 1, 3, 11, 29, 33, 87, 319, 957

291 : 1, 3, 97, 291

381 : 1, 3, 127, 381

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,957,291,381, is 3.

Now, the common factors can be found like this.

249:3x 83

957:3x 11x 29

291:3x 97

381:3x 127

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 26419783203/(3x9)

LCM = 26419783203/27

LCM = 978510489

Thus, we can understand that the LCM of 249,957,291,381 is 978510489.

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

• LCM of 160, 318, 858, 676
• LCM of 939, 745, 169, 498
• LCM of 720, 732, 604, 290
• LCM of 590, 154, 322, 589
• LCM of 322, 743, 539, 626

1. What is the LCM of 249, 957, 291, 381?

Answer: LCM of 249, 957, 291, 381 is 978510489.

2. How to calculate the LCM of 249, 957, 291, 381?

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, 957, 291, 381.

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}.