Given numbers are 687,728,585,39

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

The LCM of 687,728,585,39 is 7502040.

Find LCM of 687,728,585,39 with Prime Factorization

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

3 x 13 x 229 x 56 x 15 x 1 = 7502040

Therefore, the lowest common multiple of 687,728,585,39 is 7502040.

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.

687 x 728 x 585 x 39 = 11410602840

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.

687 : 1, 3, 229, 687

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

39 : 1, 3, 13, 39

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,728,585,39, is 1.

Now, the common factors can be found like this.

687:3x 229

728:2x 2x 2x 7x 13

585:3x 3x 5x 13

39:3x 13

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

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 11410602840/(1x1521)

LCM = 11410602840/1521

LCM = 7502040

Thus, we can understand that the LCM of 687,728,585,39 is 7502040.

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

• LCM of 636, 582, 889, 39
• LCM of 676, 741, 974, 38
• LCM of 678, 112, 781, 79
• LCM of 126, 102, 371, 73
• LCM of 393, 159, 759, 61

1. What is the LCM of 687, 728, 585, 39?

Answer: LCM of 687, 728, 585, 39 is 7502040.

2. How to calculate the LCM of 687, 728, 585, 39?

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 687, 728, 585, 39.

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}.