Given numbers are 67,60,48,409

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

The LCM of 67,60,48,409 is 6576720.

Find LCM of 67,60,48,409 with Prime Factorization

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

2 x 2 x 3 x 67 x 5 x 4 x 409 = 6576720

Therefore, the lowest common multiple of 67,60,48,409 is 6576720.

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.

67 x 60 x 48 x 409 = 78920640

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.

67 : 1, 67

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,60,48,409, is 1.

Now, the common factors can be found like this.

67:67

60:2x 2x 3x 5

48:2x 2x 2x 2x 3

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.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 78920640/(1x12)

LCM = 78920640/12

LCM = 6576720

Thus, we can understand that the LCM of 67,60,48,409 is 6576720.

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

• LCM of 77, 45, 95, 801
• LCM of 78, 33, 89, 905
• LCM of 56, 54, 53, 809
• LCM of 54, 11, 81, 153
• LCM of 59, 65, 42, 729

1. What is the LCM of 67, 60, 48, 409?

Answer: LCM of 67, 60, 48, 409 is 6576720.

2. How to calculate the LCM of 67, 60, 48, 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 67, 60, 48, 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}.