Given numbers are 409,304,989,285

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

The LCM of 409,304,989,285 is 1844524560.

Find LCM of 409,304,989,285 with Prime Factorization

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

19 x 409 x 16 x 989 x 15 = 1844524560

Therefore, the lowest common multiple of 409,304,989,285 is 1844524560.

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 304 x 989 x 285 = 35045966640

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

989 : 1, 23, 43, 989

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,304,989,285, is 1.

Now, the common factors can be found like this.

409:409

304:2x 2x 2x 2x 19

989:23x 43

285:3x 5x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 35045966640/(1x19)

LCM = 35045966640/19

LCM = 1844524560

Thus, we can understand that the LCM of 409,304,989,285 is 1844524560.

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

• LCM of 361, 842, 649, 427
• LCM of 530, 321, 253, 755
• LCM of 247, 633, 195, 377
• LCM of 852, 856, 934, 466
• LCM of 126, 220, 875, 890

1. What is the LCM of 409, 304, 989, 285?

Answer: LCM of 409, 304, 989, 285 is 1844524560.

2. How to calculate the LCM of 409, 304, 989, 285?

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, 304, 989, 285.

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}.