Given numbers are 409,413,236,842

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

The LCM of 409,413,236,842 is 284456228.

Find LCM of 409,413,236,842 with Prime Factorization

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

2 x 59 x 409 x 7 x 2 x 421 = 284456228

Therefore, the lowest common multiple of 409,413,236,842 is 284456228.

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 413 x 236 x 842 = 33565834904

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

413 : 1, 7, 59, 413

236 : 1, 2, 4, 59, 118, 236

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,413,236,842, is 1.

Now, the common factors can be found like this.

409:409

413:7x 59

236:2x 2x 59

842:2x 421

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 33565834904/(1x118)

LCM = 33565834904/118

LCM = 284456228

Thus, we can understand that the LCM of 409,413,236,842 is 284456228.

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

• LCM of 980, 155, 785, 733
• LCM of 541, 918, 414, 673
• LCM of 739, 739, 196, 483
• LCM of 433, 893, 262, 744
• LCM of 639, 568, 611, 577

1. What is the LCM of 409, 413, 236, 842?

Answer: LCM of 409, 413, 236, 842 is 284456228.

2. How to calculate the LCM of 409, 413, 236, 842?

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, 413, 236, 842.

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}.