Given numbers are 852,334,724,424,361

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

The LCM of 852,334,724,424,361 is 985479757464.

Find LCM of 852,334,724,424,361 with Prime Factorization

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

2 x 2 x 213 x 167 x 181 x 106 x 361 = 985479757464

Therefore, the lowest common multiple of 852,334,724,424,361 is 985479757464.

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 334 x 724 x 424 x 361 = 31535352238848

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

334 : 1, 2, 167, 334

724 : 1, 2, 4, 181, 362, 724

424 : 1, 2, 4, 8, 53, 106, 212, 424

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,334,724,424,361, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

334:2x 167

724:2x 2x 181

424:2x 2x 2x 53

361:19x 19

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 2 = 32

Therefore, the value for common factors is 32.

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 = 31535352238848/(1x32)

LCM = 31535352238848/32

LCM = 985479757464

Thus, we can understand that the LCM of 852,334,724,424,361 is 985479757464.

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

• LCM of 662, 215, 565, 365, 682
• LCM of 305, 234, 999, 995, 348
• LCM of 678, 105, 359, 888, 775
• LCM of 752, 369, 197, 305, 248
• LCM of 251, 794, 564, 654, 463

1. What is the LCM of 852, 334, 724, 424, 361?

Answer: LCM of 852, 334, 724, 424, 361 is 985479757464.

2. How to calculate the LCM of 852, 334, 724, 424, 361?

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, 334, 724, 424, 361.

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}.