Given numbers are 409,663,738,336,582

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

The LCM of 409,663,738,336,582 is 362352869424.

Find LCM of 409,663,738,336,582 with Prime Factorization

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

2 x 3 x 409 x 221 x 123 x 56 x 97 = 362352869424

Therefore, the lowest common multiple of 409,663,738,336,582 is 362352869424.

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.

409 x 663 x 738 x 336 x 582 = 39134109897792

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.

409 : 1, 409

663 : 1, 3, 13, 17, 39, 51, 221, 663

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,663,738,336,582, is 1.

Now, the common factors can be found like this.

409:409

663:3x 13x 17

738:2x 3x 3x 41

336:2x 2x 2x 2x 3x 7

582:2x 3x 97

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 = 39134109897792/(1x108)

LCM = 39134109897792/108

LCM = 362352869424

Thus, we can understand that the LCM of 409,663,738,336,582 is 362352869424.

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

• LCM of 718, 741, 511, 898, 964
• LCM of 182, 296, 298, 672, 282
• LCM of 357, 418, 723, 947, 818
• LCM of 642, 925, 832, 639, 232
• LCM of 671, 229, 812, 945, 904

1. What is the LCM of 409, 663, 738, 336, 582?

Answer: LCM of 409, 663, 738, 336, 582 is 362352869424.

2. How to calculate the LCM of 409, 663, 738, 336, 582?

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 409, 663, 738, 336, 582.

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}.