Given numbers are 409,134,231,476

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

The LCM of 409,134,231,476 is 430446324.

Find LCM of 409,134,231,476 with Prime Factorization

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

2 x 7 x 409 x 67 x 33 x 34 = 430446324

Therefore, the lowest common multiple of 409,134,231,476 is 430446324.

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 134 x 231 x 476 = 6026248536

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

134 : 1, 2, 67, 134

231 : 1, 3, 7, 11, 21, 33, 77, 231

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,134,231,476, is 1.

Now, the common factors can be found like this.

409:409

134:2x 67

231:3x 7x 11

476:2x 2x 7x 17

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 6026248536/(1x14)

LCM = 6026248536/14

LCM = 430446324

Thus, we can understand that the LCM of 409,134,231,476 is 430446324.

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

• LCM of 453, 448, 983, 179
• LCM of 845, 532, 329, 934
• LCM of 644, 405, 236, 712
• LCM of 595, 870, 369, 166
• LCM of 510, 269, 584, 361

1. What is the LCM of 409, 134, 231, 476?

Answer: LCM of 409, 134, 231, 476 is 430446324.

2. How to calculate the LCM of 409, 134, 231, 476?

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, 134, 231, 476.

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}.