Given numbers are 546,198,816,161,828

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

The LCM of 546,198,816,161,828 is 56360304.

Find LCM of 546,198,816,161,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 23 x 13 x 11 x 68 x 1 x 1 = 56360304

Therefore, the lowest common multiple of 546,198,816,161,828 is 56360304.

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 198 x 816 x 161 x 828 = 11759915591424

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

161 : 1, 7, 23, 161

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,198,816,161,828, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

198:2x 3x 3x 11

816:2x 2x 2x 2x 3x 17

161:7x 23

828:2x 2x 3x 3x 23

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 3x 3x 3x 3x 7x 23 = 208656

Therefore, the value for common factors is 208656.

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 = 11759915591424/(1x208656)

LCM = 11759915591424/208656

LCM = 56360304

Thus, we can understand that the LCM of 546,198,816,161,828 is 56360304.

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

• LCM of 185, 971, 999, 856, 499
• LCM of 184, 198, 905, 709, 984
• LCM of 448, 403, 382, 859, 254
• LCM of 655, 253, 384, 182, 583
• LCM of 730, 478, 210, 801, 530

1. What is the LCM of 546, 198, 816, 161, 828?

Answer: LCM of 546, 198, 816, 161, 828 is 56360304.

2. How to calculate the LCM of 546, 198, 816, 161, 828?

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, 198, 816, 161, 828.

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}.