Given numbers are 842,246,258,409,936

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

The LCM of 842,246,258,409,936 is 284140777752.

Find LCM of 842,246,258,409,936 with Prime Factorization

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

2 x 3 x 421 x 41 x 43 x 409 x 156 = 284140777752

Therefore, the lowest common multiple of 842,246,258,409,936 is 284140777752.

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.

842 x 246 x 258 x 409 x 936 = 20458135998144

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.

842 : 1, 2, 421, 842

246 : 1, 2, 3, 6, 41, 82, 123, 246

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

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,246,258,409,936, is 1.

Now, the common factors can be found like this.

842:2x 421

246:2x 3x 41

258:2x 3x 43

409:409

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

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 20458135998144/(1x72)

LCM = 20458135998144/72

LCM = 284140777752

Thus, we can understand that the LCM of 842,246,258,409,936 is 284140777752.

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

• LCM of 367, 239, 680, 576, 505
• LCM of 279, 692, 144, 943, 825
• LCM of 132, 192, 726, 812, 554
• LCM of 500, 913, 842, 139, 238
• LCM of 141, 823, 756, 975, 184

1. What is the LCM of 842, 246, 258, 409, 936?

Answer: LCM of 842, 246, 258, 409, 936 is 284140777752.

2. How to calculate the LCM of 842, 246, 258, 409, 936?

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 842, 246, 258, 409, 936.

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}.