Given numbers are 68,74,18,892

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

The LCM of 68,74,18,892 is 5049612.

Find LCM of 68,74,18,892 with Prime Factorization

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

2 x 2 x 17 x 37 x 9 x 223 = 5049612

Therefore, the lowest common multiple of 68,74,18,892 is 5049612.

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.

68 x 74 x 18 x 892 = 80793792

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.

68 : 1, 2, 4, 17, 34, 68

74 : 1, 2, 37, 74

18 : 1, 2, 3, 6, 9, 18

892 : 1, 2, 4, 223, 446, 892

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,74,18,892, is 2.

Now, the common factors can be found like this.

68:2x 2x 17

74:2x 37

18:2x 3x 3

892:2x 2x 223

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 2 = 8

Therefore, the value for common factors is 8.

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 = 80793792/(2x8)

LCM = 80793792/16

LCM = 5049612

Thus, we can understand that the LCM of 68,74,18,892 is 5049612.

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

• LCM of 97, 22, 69, 512
• LCM of 10, 17, 49, 620
• LCM of 17, 82, 28, 350
• LCM of 35, 29, 37, 105
• LCM of 16, 58, 21, 172

1. What is the LCM of 68, 74, 18, 892?

Answer: LCM of 68, 74, 18, 892 is 5049612.

2. How to calculate the LCM of 68, 74, 18, 892?

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 68, 74, 18, 892.

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}.