Given numbers are 733,208,406,540,875

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

The LCM of 733,208,406,540,875 is 104456898000.

Find LCM of 733,208,406,540,875 with Prime Factorization

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

2 x 2 x 5 x 7 x 733 x 52 x 29 x 27 x 25 = 104456898000

Therefore, the lowest common multiple of 733,208,406,540,875 is 104456898000.

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.

733 x 208 x 406 x 540 x 875 = 29247931440000

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.

733 : 1, 733

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,208,406,540,875, is 1.

Now, the common factors can be found like this.

733:733

208:2x 2x 2x 2x 13

406:2x 7x 29

540:2x 2x 3x 3x 3x 5

875:5x 5x 5x 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 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 29247931440000/(1x280)

LCM = 29247931440000/280

LCM = 104456898000

Thus, we can understand that the LCM of 733,208,406,540,875 is 104456898000.

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

• LCM of 164, 760, 493, 834, 377
• LCM of 986, 711, 910, 438, 661
• LCM of 594, 623, 597, 832, 696
• LCM of 987, 766, 966, 175, 337
• LCM of 384, 129, 926, 912, 490

1. What is the LCM of 733, 208, 406, 540, 875?

Answer: LCM of 733, 208, 406, 540, 875 is 104456898000.

2. How to calculate the LCM of 733, 208, 406, 540, 875?

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 733, 208, 406, 540, 875.

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}.