Given numbers are 287,393,491,205,409

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

The LCM of 287,393,491,205,409 is 113252879145.

Find LCM of 287,393,491,205,409 with Prime Factorization

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

41 x 7 x 393 x 491 x 5 x 409 = 113252879145

Therefore, the lowest common multiple of 287,393,491,205,409 is 113252879145.

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.

287 x 393 x 491 x 205 x 409 = 4643368044945

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.

287 : 1, 7, 41, 287

393 : 1, 3, 131, 393

491 : 1, 491

205 : 1, 5, 41, 205

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,393,491,205,409, is 1.

Now, the common factors can be found like this.

287:7x 41

393:3x 131

491:491

205:5x 41

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

41 = 41

Therefore, the value for common factors is 41.

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 = 4643368044945/(1x41)

LCM = 4643368044945/41

LCM = 113252879145

Thus, we can understand that the LCM of 287,393,491,205,409 is 113252879145.

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

• LCM of 847, 883, 241, 806, 265
• LCM of 908, 322, 807, 795, 603
• LCM of 653, 805, 148, 498, 789
• LCM of 706, 858, 804, 636, 221
• LCM of 112, 200, 224, 337, 162

1. What is the LCM of 287, 393, 491, 205, 409?

Answer: LCM of 287, 393, 491, 205, 409 is 113252879145.

2. How to calculate the LCM of 287, 393, 491, 205, 409?

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 287, 393, 491, 205, 409.

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}.