Given numbers are 67,14,44,506

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

The LCM of 67,14,44,506 is 474628.

Find LCM of 67,14,44,506 with Prime Factorization

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

2 x 11 x 67 x 7 x 2 x 23 = 474628

Therefore, the lowest common multiple of 67,14,44,506 is 474628.

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 14 x 44 x 506 = 20883632

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

14 : 1, 2, 7, 14

44 : 1, 2, 4, 11, 22, 44

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,14,44,506, is 1.

Now, the common factors can be found like this.

67:67

14:2x 7

44:2x 2x 11

506:2x 11x 23

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 11 = 44

Therefore, the value for common factors is 44.

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 = 20883632/(1x44)

LCM = 20883632/44

LCM = 474628

Thus, we can understand that the LCM of 67,14,44,506 is 474628.

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

• LCM of 52, 55, 43, 586
• LCM of 42, 98, 63, 930
• LCM of 20, 68, 79, 350
• LCM of 78, 49, 32, 589
• LCM of 44, 81, 74, 511

1. What is the LCM of 67, 14, 44, 506?

Answer: LCM of 67, 14, 44, 506 is 474628.

2. How to calculate the LCM of 67, 14, 44, 506?

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, 14, 44, 506.

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}.