Given numbers are 240,715,484,984

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

The LCM of 240,715,484,984 is 15478320.

Find LCM of 240,715,484,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 2 x 13 x 11 x 41 = 15478320

Therefore, the lowest common multiple of 240,715,484,984 is 15478320.

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.

240 x 715 x 484 x 984 = 81725529600

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

715 : 1, 5, 11, 13, 55, 65, 143, 715

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,715,484,984, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

715:5x 11x 13

484:2x 2x 11x 11

984:2x 2x 2x 3x 41

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 5x 11 = 5280

Therefore, the value for common factors is 5280.

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 = 81725529600/(1x5280)

LCM = 81725529600/5280

LCM = 15478320

Thus, we can understand that the LCM of 240,715,484,984 is 15478320.

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

• LCM of 422, 366, 328, 500
• LCM of 164, 406, 269, 228
• LCM of 366, 263, 158, 987
• LCM of 600, 236, 311, 909
• LCM of 604, 416, 636, 697

1. What is the LCM of 240, 715, 484, 984?

Answer: LCM of 240, 715, 484, 984 is 15478320.

2. How to calculate the LCM of 240, 715, 484, 984?

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 240, 715, 484, 984.

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}.