Given numbers are 48,41,34,77,409

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

The LCM of 48,41,34,77,409 is 1053629808.

Find LCM of 48,41,34,77,409 with Prime Factorization

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

2 x 24 x 41 x 17 x 77 x 409 = 1053629808

Therefore, the lowest common multiple of 48,41,34,77,409 is 1053629808.

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.

48 x 41 x 34 x 77 x 409 = 2107259616

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.

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

41 : 1, 41

34 : 1, 2, 17, 34

77 : 1, 7, 11, 77

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,41,34,77,409, is 1.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

41:41

34:2x 17

77:7x 11

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 2107259616/(1x2)

LCM = 2107259616/2

LCM = 1053629808

Thus, we can understand that the LCM of 48,41,34,77,409 is 1053629808.

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

• LCM of 41, 81, 10, 92, 109
• LCM of 78, 14, 27, 88, 196
• LCM of 56, 73, 94, 11, 863
• LCM of 90, 17, 44, 17, 117
• LCM of 83, 58, 38, 75, 587

1. What is the LCM of 48, 41, 34, 77, 409?

Answer: LCM of 48, 41, 34, 77, 409 is 1053629808.

2. How to calculate the LCM of 48, 41, 34, 77, 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 48, 41, 34, 77, 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}.