Given numbers are 546,438,423,208,161

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

The LCM of 546,438,423,208,161 is 1034075952.

Find LCM of 546,438,423,208,161 with Prime Factorization

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

2 x 3 x 7 x 13 x 1 x 73 x 141 x 8 x 23 = 1034075952

Therefore, the lowest common multiple of 546,438,423,208,161 is 1034075952.

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 438 x 423 x 208 x 161 = 3387632818752

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

423 : 1, 3, 9, 47, 141, 423

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

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,438,423,208,161, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

438:2x 3x 73

423:3x 3x 47

208:2x 2x 2x 2x 13

161:7x 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 3x 3x 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 3387632818752/(1x3276)

LCM = 3387632818752/3276

LCM = 1034075952

Thus, we can understand that the LCM of 546,438,423,208,161 is 1034075952.

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

• LCM of 700, 710, 977, 478, 487
• LCM of 786, 733, 170, 193, 434
• LCM of 992, 366, 466, 332, 456
• LCM of 627, 402, 871, 728, 971
• LCM of 818, 679, 802, 631, 219

1. What is the LCM of 546, 438, 423, 208, 161?

Answer: LCM of 546, 438, 423, 208, 161 is 1034075952.

2. How to calculate the LCM of 546, 438, 423, 208, 161?

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, 438, 423, 208, 161.

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}.