Given numbers are 208,340,752,124,468

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

The LCM of 208,340,752,124,468 is 231837840.

Find LCM of 208,340,752,124,468 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 1 x 85 x 47 x 31 x 9 = 231837840

Therefore, the lowest common multiple of 208,340,752,124,468 is 231837840.

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 340 x 752 x 124 x 468 = 3086225326080

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

124 : 1, 2, 4, 31, 62, 124

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,340,752,124,468, is 4.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

340:2x 2x 5x 17

752:2x 2x 2x 2x 47

124:2x 2x 31

468:2x 2x 3x 3x 13

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 2x 2x 13 = 3328

Therefore, the value for common factors is 3328.

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 = 3086225326080/(4x3328)

LCM = 3086225326080/13312

LCM = 231837840

Thus, we can understand that the LCM of 208,340,752,124,468 is 231837840.

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

• LCM of 249, 960, 500, 664, 135
• LCM of 282, 640, 717, 946, 297
• LCM of 861, 788, 150, 957, 954
• LCM of 634, 429, 852, 348, 617
• LCM of 728, 583, 884, 231, 509

1. What is the LCM of 208, 340, 752, 124, 468?

Answer: LCM of 208, 340, 752, 124, 468 is 231837840.

2. How to calculate the LCM of 208, 340, 752, 124, 468?

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, 340, 752, 124, 468.

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}.