Given numbers are 208,824,172,461,540

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

The LCM of 208,824,172,461,540 is 57332873520.

Find LCM of 208,824,172,461,540 with Prime Factorization

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

2 x 2 x 2 x 26 x 103 x 43 x 461 x 135 = 57332873520

Therefore, the lowest common multiple of 208,824,172,461,540 is 57332873520.

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.

208 x 824 x 172 x 461 x 540 = 7338607810560

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.

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

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

172 : 1, 2, 4, 43, 86, 172

461 : 1, 461

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,824,172,461,540, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

824:2x 2x 2x 103

172:2x 2x 43

461:461

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

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 7338607810560/(1x128)

LCM = 7338607810560/128

LCM = 57332873520

Thus, we can understand that the LCM of 208,824,172,461,540 is 57332873520.

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

• LCM of 230, 995, 866, 870, 781
• LCM of 937, 187, 431, 142, 677
• LCM of 123, 341, 629, 120, 133
• LCM of 626, 465, 273, 723, 716
• LCM of 818, 320, 134, 980, 793

1. What is the LCM of 208, 824, 172, 461, 540?

Answer: LCM of 208, 824, 172, 461, 540 is 57332873520.

2. How to calculate the LCM of 208, 824, 172, 461, 540?

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 208, 824, 172, 461, 540.

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}.