Given numbers are 356,268,393,327,648

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

The LCM of 356,268,393,327,648 is 55174398696.

Find LCM of 356,268,393,327,648 with Prime Factorization

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

2 x 2 x 3 x 89 x 67 x 131 x 109 x 54 = 55174398696

Therefore, the lowest common multiple of 356,268,393,327,648 is 55174398696.

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.

356 x 268 x 393 x 327 x 648 = 7945113412224

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.

356 : 1, 2, 4, 89, 178, 356

268 : 1, 2, 4, 67, 134, 268

393 : 1, 3, 131, 393

327 : 1, 3, 109, 327

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,268,393,327,648, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

268:2x 2x 67

393:3x 131

327:3x 109

648:2x 2x 2x 3x 3x 3x 3

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 3 = 144

Therefore, the value for common factors is 144.

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 = 7945113412224/(1x144)

LCM = 7945113412224/144

LCM = 55174398696

Thus, we can understand that the LCM of 356,268,393,327,648 is 55174398696.

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

• LCM of 980, 227, 132, 427, 477
• LCM of 906, 560, 238, 803, 663
• LCM of 756, 704, 398, 382, 909
• LCM of 840, 453, 800, 964, 235
• LCM of 915, 829, 627, 983, 601

1. What is the LCM of 356, 268, 393, 327, 648?

Answer: LCM of 356, 268, 393, 327, 648 is 55174398696.

2. How to calculate the LCM of 356, 268, 393, 327, 648?

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 356, 268, 393, 327, 648.

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}.