Given numbers are 852,328,243,409,343

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

The LCM of 852,328,243,409,343 is 793881888408.

Find LCM of 852,328,243,409,343 with Prime Factorization

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

2 x 2 x 3 x 71 x 82 x 81 x 409 x 343 = 793881888408

Therefore, the lowest common multiple of 852,328,243,409,343 is 793881888408.

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.

852 x 328 x 243 x 409 x 343 = 9526582660896

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

328 : 1, 2, 4, 8, 41, 82, 164, 328

243 : 1, 3, 9, 27, 81, 243

409 : 1, 409

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,328,243,409,343, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

328:2x 2x 2x 41

243:3x 3x 3x 3x 3

409:409

343:7x 7x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 9526582660896/(1x12)

LCM = 9526582660896/12

LCM = 793881888408

Thus, we can understand that the LCM of 852,328,243,409,343 is 793881888408.

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

• LCM of 585, 835, 178, 614, 328
• LCM of 938, 341, 116, 914, 325
• LCM of 114, 841, 774, 630, 635
• LCM of 823, 778, 794, 958, 378
• LCM of 604, 628, 675, 700, 946

1. What is the LCM of 852, 328, 243, 409, 343?

Answer: LCM of 852, 328, 243, 409, 343 is 793881888408.

2. How to calculate the LCM of 852, 328, 243, 409, 343?

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 852, 328, 243, 409, 343.

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}.