Given numbers are 447,924,164,546,258

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

The LCM of 447,924,164,546,258 is 3155396244.

Find LCM of 447,924,164,546,258 with Prime Factorization

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

2 x 2 x 3 x 7 x 149 x 11 x 41 x 13 x 43 = 3155396244

Therefore, the lowest common multiple of 447,924,164,546,258 is 3155396244.

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.

447 x 924 x 164 x 546 x 258 = 9541918241856

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.

447 : 1, 3, 149, 447

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

164 : 1, 2, 4, 41, 82, 164

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,924,164,546,258, is 1.

Now, the common factors can be found like this.

447:3x 149

924:2x 2x 3x 7x 11

164:2x 2x 41

546:2x 3x 7x 13

258:2x 3x 43

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 7 = 3024

Therefore, the value for common factors is 3024.

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 = 9541918241856/(1x3024)

LCM = 9541918241856/3024

LCM = 3155396244

Thus, we can understand that the LCM of 447,924,164,546,258 is 3155396244.

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

• LCM of 789, 291, 562, 748, 639
• LCM of 936, 428, 757, 389, 305
• LCM of 383, 144, 749, 376, 217
• LCM of 680, 969, 766, 254, 641
• LCM of 221, 830, 497, 323, 221

1. What is the LCM of 447, 924, 164, 546, 258?

Answer: LCM of 447, 924, 164, 546, 258 is 3155396244.

2. How to calculate the LCM of 447, 924, 164, 546, 258?

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 447, 924, 164, 546, 258.

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}.