Given numbers are 409,952,353,527,409

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

The LCM of 409,952,353,527,409 is 4260854024.

Find LCM of 409,952,353,527,409 with Prime Factorization

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

17 x 409 x 1 x 56 x 353 x 31 x 1 = 4260854024

Therefore, the lowest common multiple of 409,952,353,527,409 is 4260854024.

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 952 x 353 x 527 x 409 = 29625718028872

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

353 : 1, 353

527 : 1, 17, 31, 527

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,952,353,527,409, is 1.

Now, the common factors can be found like this.

409:409

952:2x 2x 2x 7x 17

353:353

527:17x 31

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.

17x 409 = 6953

Therefore, the value for common factors is 6953.

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 = 29625718028872/(1x6953)

LCM = 29625718028872/6953

LCM = 4260854024

Thus, we can understand that the LCM of 409,952,353,527,409 is 4260854024.

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

• LCM of 701, 946, 987, 146, 138
• LCM of 792, 116, 709, 775, 932
• LCM of 790, 590, 508, 131, 305
• LCM of 983, 913, 963, 231, 830
• LCM of 867, 939, 477, 309, 281

1. What is the LCM of 409, 952, 353, 527, 409?

Answer: LCM of 409, 952, 353, 527, 409 is 4260854024.

2. How to calculate the LCM of 409, 952, 353, 527, 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 409, 952, 353, 527, 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}.