Given numbers are 67,36,15,67,401

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

The LCM of 67,36,15,67,401 is 4836060.

Find LCM of 67,36,15,67,401 with Prime Factorization

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

3 x 67 x 1 x 12 x 5 x 1 x 401 = 4836060

Therefore, the lowest common multiple of 67,36,15,67,401 is 4836060.

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 36 x 15 x 67 x 401 = 972048060

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

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

15 : 1, 3, 5, 15

67 : 1, 67

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,36,15,67,401, is 1.

Now, the common factors can be found like this.

67:67

36:2x 2x 3x 3

15:3x 5

67:67

401:401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 67 = 201

Therefore, the value for common factors is 201.

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 = 972048060/(1x201)

LCM = 972048060/201

LCM = 4836060

Thus, we can understand that the LCM of 67,36,15,67,401 is 4836060.

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

• LCM of 30, 14, 13, 76, 881
• LCM of 47, 49, 15, 82, 603
• LCM of 14, 89, 91, 45, 707
• LCM of 49, 37, 99, 98, 763
• LCM of 34, 63, 90, 40, 205

1. What is the LCM of 67, 36, 15, 67, 401?

Answer: LCM of 67, 36, 15, 67, 401 is 4836060.

2. How to calculate the LCM of 67, 36, 15, 67, 401?

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, 36, 15, 67, 401.

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}.