Given numbers are 828,734,708,406

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

The LCM of 828,734,708,406 is 3639522852.

Find LCM of 828,734,708,406 with Prime Factorization

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

2 x 2 x 3 x 69 x 367 x 59 x 203 = 3639522852

Therefore, the lowest common multiple of 828,734,708,406 is 3639522852.

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.

828 x 734 x 708 x 406 = 174697096896

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

734 : 1, 2, 367, 734

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,734,708,406, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

734:2x 367

708:2x 2x 3x 59

406:2x 7x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 174697096896/(2x24)

LCM = 174697096896/48

LCM = 3639522852

Thus, we can understand that the LCM of 828,734,708,406 is 3639522852.

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

• LCM of 933, 821, 597, 356
• LCM of 702, 304, 133, 527
• LCM of 565, 878, 688, 312
• LCM of 578, 203, 388, 800
• LCM of 408, 589, 140, 190

1. What is the LCM of 828, 734, 708, 406?

Answer: LCM of 828, 734, 708, 406 is 3639522852.

2. How to calculate the LCM of 828, 734, 708, 406?

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 828, 734, 708, 406.

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}.