Given numbers are 546,154,368,856,408

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

The LCM of 546,154,368,856,408 is 2010184176.

Find LCM of 546,154,368,856,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 11 x 46 x 107 x 17 = 2010184176

Therefore, the lowest common multiple of 546,154,368,856,408 is 2010184176.

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.

546 x 154 x 368 x 856 x 408 = 10806750130176

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

154 : 1, 2, 7, 11, 14, 22, 77, 154

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

856 : 1, 2, 4, 8, 107, 214, 428, 856

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,154,368,856,408, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

154:2x 7x 11

368:2x 2x 2x 2x 23

856:2x 2x 2x 107

408:2x 2x 2x 3x 17

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 3x 7 = 2688

Therefore, the value for common factors is 2688.

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 = 10806750130176/(2x2688)

LCM = 10806750130176/5376

LCM = 2010184176

Thus, we can understand that the LCM of 546,154,368,856,408 is 2010184176.

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

• LCM of 875, 570, 290, 975, 325
• LCM of 966, 349, 438, 606, 823
• LCM of 853, 498, 656, 155, 195
• LCM of 849, 120, 504, 997, 209
• LCM of 295, 736, 738, 167, 538

1. What is the LCM of 546, 154, 368, 856, 408?

Answer: LCM of 546, 154, 368, 856, 408 is 2010184176.

2. How to calculate the LCM of 546, 154, 368, 856, 408?

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 546, 154, 368, 856, 408.

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}.