Given numbers are 467,201,864,282,246

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

The LCM of 467,201,864,282,246 is 52093932192.

Find LCM of 467,201,864,282,246 with Prime Factorization

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

2 x 3 x 467 x 67 x 144 x 47 x 41 = 52093932192

Therefore, the lowest common multiple of 467,201,864,282,246 is 52093932192.

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.

467 x 201 x 864 x 282 x 246 = 5626144676736

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.

467 : 1, 467

201 : 1, 3, 67, 201

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,201,864,282,246, is 1.

Now, the common factors can be found like this.

467:467

201:3x 67

864:2x 2x 2x 2x 2x 3x 3x 3

282:2x 3x 47

246:2x 3x 41

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 3 = 108

Therefore, the value for common factors is 108.

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 = 5626144676736/(1x108)

LCM = 5626144676736/108

LCM = 52093932192

Thus, we can understand that the LCM of 467,201,864,282,246 is 52093932192.

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

• LCM of 261, 492, 330, 112, 584
• LCM of 873, 114, 456, 650, 175
• LCM of 517, 723, 861, 803, 491
• LCM of 500, 487, 660, 596, 270
• LCM of 786, 413, 430, 456, 471

1. What is the LCM of 467, 201, 864, 282, 246?

Answer: LCM of 467, 201, 864, 282, 246 is 52093932192.

2. How to calculate the LCM of 467, 201, 864, 282, 246?

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 467, 201, 864, 282, 246.

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}.