Given numbers are 857,326,548,492,409

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

The LCM of 857,326,548,492,409 is 3851034455076.

Find LCM of 857,326,548,492,409 with Prime Factorization

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

2 x 2 x 857 x 163 x 137 x 123 x 409 = 3851034455076

Therefore, the lowest common multiple of 857,326,548,492,409 is 3851034455076.

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.

857 x 326 x 548 x 492 x 409 = 30808275640608

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.

857 : 1, 857

326 : 1, 2, 163, 326

548 : 1, 2, 4, 137, 274, 548

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,326,548,492,409, is 1.

Now, the common factors can be found like this.

857:857

326:2x 163

548:2x 2x 137

492:2x 2x 3x 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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 30808275640608/(1x8)

LCM = 30808275640608/8

LCM = 3851034455076

Thus, we can understand that the LCM of 857,326,548,492,409 is 3851034455076.

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

• LCM of 816, 489, 281, 101, 310
• LCM of 809, 381, 242, 958, 367
• LCM of 247, 665, 535, 115, 697
• LCM of 727, 258, 632, 959, 749
• LCM of 981, 894, 817, 171, 867

1. What is the LCM of 857, 326, 548, 492, 409?

Answer: LCM of 857, 326, 548, 492, 409 is 3851034455076.

2. How to calculate the LCM of 857, 326, 548, 492, 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 857, 326, 548, 492, 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}.