Given numbers are 987,240,343,534,687

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

The LCM of 987,240,343,534,687 is 78854904240.

Find LCM of 987,240,343,534,687 with Prime Factorization

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

2 x 3 x 7 x 47 x 40 x 49 x 89 x 229 = 78854904240

Therefore, the lowest common multiple of 987,240,343,534,687 is 78854904240.

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.

987 x 240 x 343 x 534 x 687 = 29807153802720

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

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

343 : 1, 7, 49, 343

534 : 1, 2, 3, 6, 89, 178, 267, 534

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,240,343,534,687, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

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

343:7x 7x 7

534:2x 3x 89

687:3x 229

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 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 29807153802720/(1x378)

LCM = 29807153802720/378

LCM = 78854904240

Thus, we can understand that the LCM of 987,240,343,534,687 is 78854904240.

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

• LCM of 540, 785, 757, 649, 876
• LCM of 832, 111, 910, 661, 568
• LCM of 449, 200, 986, 730, 257
• LCM of 536, 860, 714, 352, 305
• LCM of 378, 909, 598, 475, 277

1. What is the LCM of 987, 240, 343, 534, 687?

Answer: LCM of 987, 240, 343, 534, 687 is 78854904240.

2. How to calculate the LCM of 987, 240, 343, 534, 687?

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 987, 240, 343, 534, 687.

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}.