Given numbers are 68,74,53,394

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

The LCM of 68,74,53,394 is 26269556.

Find LCM of 68,74,53,394 with Prime Factorization

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

2 x 34 x 37 x 53 x 197 = 26269556

Therefore, the lowest common multiple of 68,74,53,394 is 26269556.

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 53 x 394 = 105078224

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

53 : 1, 53

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,74,53,394, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

74:2x 37

53:53

394:2x 197

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 105078224/(1x4)

LCM = 105078224/4

LCM = 26269556

Thus, we can understand that the LCM of 68,74,53,394 is 26269556.

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

• LCM of 35, 44, 66, 693
• LCM of 23, 87, 79, 547
• LCM of 35, 71, 12, 219
• LCM of 20, 35, 12, 567
• LCM of 19, 89, 55, 884

1. What is the LCM of 68, 74, 53, 394?

Answer: LCM of 68, 74, 53, 394 is 26269556.

2. How to calculate the LCM of 68, 74, 53, 394?

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, 53, 394.

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}.