Given numbers are 409,171,133,362

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

The LCM of 409,171,133,362 is 177225426.

Find LCM of 409,171,133,362 with Prime Factorization

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

19 x 409 x 9 x 7 x 362 = 177225426

Therefore, the lowest common multiple of 409,171,133,362 is 177225426.

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 171 x 133 x 362 = 3367283094

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

171 : 1, 3, 9, 19, 57, 171

133 : 1, 7, 19, 133

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,171,133,362, is 1.

Now, the common factors can be found like this.

409:409

171:3x 3x 19

133:7x 19

362:2x 181

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 = 3367283094/(1x19)

LCM = 3367283094/19

LCM = 177225426

Thus, we can understand that the LCM of 409,171,133,362 is 177225426.

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

• LCM of 232, 960, 732, 479
• LCM of 356, 996, 179, 126
• LCM of 796, 430, 394, 792
• LCM of 977, 936, 371, 582
• LCM of 954, 874, 112, 953

1. What is the LCM of 409, 171, 133, 362?

Answer: LCM of 409, 171, 133, 362 is 177225426.

2. How to calculate the LCM of 409, 171, 133, 362?

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, 171, 133, 362.

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}.