Given numbers are 388,824,214,206,735

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

The LCM of 388,824,214,206,735 is 6285937560.

Find LCM of 388,824,214,206,735 with Prime Factorization

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

2 x 2 x 103 x 97 x 2 x 107 x 1 x 735 = 6285937560

Therefore, the lowest common multiple of 388,824,214,206,735 is 6285937560.

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.

388 x 824 x 214 x 206 x 735 = 10359225098880

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.

388 : 1, 2, 4, 97, 194, 388

824 : 1, 2, 4, 8, 103, 206, 412, 824

214 : 1, 2, 107, 214

206 : 1, 2, 103, 206

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,824,214,206,735, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

824:2x 2x 2x 103

214:2x 107

206:2x 103

735:3x 5x 7x 7

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 103 = 1648

Therefore, the value for common factors is 1648.

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 = 10359225098880/(1x1648)

LCM = 10359225098880/1648

LCM = 6285937560

Thus, we can understand that the LCM of 388,824,214,206,735 is 6285937560.

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

• LCM of 607, 483, 633, 603, 435
• LCM of 868, 722, 253, 819, 232
• LCM of 200, 555, 155, 661, 800
• LCM of 168, 525, 686, 101, 888
• LCM of 389, 832, 800, 604, 763

1. What is the LCM of 388, 824, 214, 206, 735?

Answer: LCM of 388, 824, 214, 206, 735 is 6285937560.

2. How to calculate the LCM of 388, 824, 214, 206, 735?

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 388, 824, 214, 206, 735.

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}.