Given numbers are 243,939,936,782,258

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

The LCM of 243,939,936,782,258 is 132993116568.

Find LCM of 243,939,936,782,258 with Prime Factorization

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

2 x 3 x 3 x 27 x 313 x 52 x 391 x 43 = 132993116568

Therefore, the lowest common multiple of 243,939,936,782,258 is 132993116568.

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.

243 x 939 x 936 x 782 x 258 = 43089769768032

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.

243 : 1, 3, 9, 27, 81, 243

939 : 1, 3, 313, 939

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

782 : 1, 2, 17, 23, 34, 46, 391, 782

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 243,939,936,782,258, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

939:3x 313

936:2x 2x 2x 3x 3x 13

782:2x 17x 23

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 43089769768032/(1x324)

LCM = 43089769768032/324

LCM = 132993116568

Thus, we can understand that the LCM of 243,939,936,782,258 is 132993116568.

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

• LCM of 620, 426, 472, 799, 739
• LCM of 637, 371, 559, 205, 967
• LCM of 173, 936, 835, 968, 674
• LCM of 323, 254, 152, 799, 563
• LCM of 884, 695, 339, 703, 113

1. What is the LCM of 243, 939, 936, 782, 258?

Answer: LCM of 243, 939, 936, 782, 258 is 132993116568.

2. How to calculate the LCM of 243, 939, 936, 782, 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 243, 939, 936, 782, 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}.