Given numbers are 409,875,469

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

The LCM of 409,875,469 is 23977625.

Find LCM of 409,875,469 with Prime Factorization

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

7 x 409 x 125 x 67 = 23977625

Therefore, the lowest common multiple of 409,875,469 is 23977625.

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 875 x 469 = 167843375

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

875 : 1, 5, 7, 25, 35, 125, 175, 875

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,875,469, is 1.

Now, the common factors can be found like this.

409:409

875:5x 5x 5x 7

469:7x 67

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

7 = 7

Therefore, the value for common factors is 7.

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 = 167843375/(1x7)

LCM = 167843375/7

LCM = 23977625

Thus, we can understand that the LCM of 409,875,469 is 23977625.

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

• LCM of 397, 104, 182
• LCM of 429, 902, 278
• LCM of 165, 314, 173
• LCM of 223, 256, 555
• LCM of 461, 799, 130

1. What is the LCM of 409, 875, 469?

Answer: LCM of 409, 875, 469 is 23977625.

2. How to calculate the LCM of 409, 875, 469?

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, 875, 469.

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}.