Given numbers are 728,553,112,687

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

The LCM of 728,553,112,687 is 79021488.

Find LCM of 728,553,112,687 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 79 x 2 x 687 = 79021488

Therefore, the lowest common multiple of 728,553,112,687 is 79021488.

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.

728 x 553 x 112 x 687 = 30976423296

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.

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

553 : 1, 7, 79, 553

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,553,112,687, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

553:7x 79

112:2x 2x 2x 2x 7

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 2x 2x 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 30976423296/(1x392)

LCM = 30976423296/392

LCM = 79021488

Thus, we can understand that the LCM of 728,553,112,687 is 79021488.

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

• LCM of 185, 849, 172, 305
• LCM of 651, 486, 947, 490
• LCM of 460, 486, 712, 937
• LCM of 660, 451, 360, 700
• LCM of 334, 826, 612, 638

1. What is the LCM of 728, 553, 112, 687?

Answer: LCM of 728, 553, 112, 687 is 79021488.

2. How to calculate the LCM of 728, 553, 112, 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 728, 553, 112, 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}.