Given numbers are 21,48,63,409

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

The LCM of 21,48,63,409 is 412272.

Find LCM of 21,48,63,409 with Prime Factorization

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

3 x 7 x 1 x 16 x 3 x 409 = 412272

Therefore, the lowest common multiple of 21,48,63,409 is 412272.

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.

21 x 48 x 63 x 409 = 25973136

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.

21 : 1, 3, 7, 21

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

63 : 1, 3, 7, 9, 21, 63

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 21,48,63,409, is 1.

Now, the common factors can be found like this.

21:3x 7

48:2x 2x 2x 2x 3

63:3x 3x 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.

3x 3x 7 = 63

Therefore, the value for common factors is 63.

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 = 25973136/(1x63)

LCM = 25973136/63

LCM = 412272

Thus, we can understand that the LCM of 21,48,63,409 is 412272.

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

• LCM of 28, 81, 45, 566
• LCM of 81, 48, 72, 707
• LCM of 38, 51, 26, 857
• LCM of 49, 51, 39, 628
• LCM of 56, 31, 78, 909

1. What is the LCM of 21, 48, 63, 409?

Answer: LCM of 21, 48, 63, 409 is 412272.

2. How to calculate the LCM of 21, 48, 63, 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 21, 48, 63, 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}.