Given numbers are 534,945,409

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

The LCM of 534,945,409 is 68797890.

Find LCM of 534,945,409 with Prime Factorization

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

3 x 178 x 315 x 409 = 68797890

Therefore, the lowest common multiple of 534,945,409 is 68797890.

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.

534 x 945 x 409 = 206393670

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,945,409, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

945:3x 3x 3x 5x 7

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 206393670/(1x3)

LCM = 206393670/3

LCM = 68797890

Thus, we can understand that the LCM of 534,945,409 is 68797890.

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

• LCM of 648, 380, 192
• LCM of 488, 339, 684
• LCM of 531, 561, 448
• LCM of 695, 119, 173
• LCM of 980, 372, 245

1. What is the LCM of 534, 945, 409?

Answer: LCM of 534, 945, 409 is 68797890.

2. How to calculate the LCM of 534, 945, 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 534, 945, 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}.