Given numbers are 39,74,18,296

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

The LCM of 39,74,18,296 is 34632.

Find LCM of 39,74,18,296 with Prime Factorization

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

2 x 3 x 37 x 13 x 1 x 3 x 4 = 34632

Therefore, the lowest common multiple of 39,74,18,296 is 34632.

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.

39 x 74 x 18 x 296 = 15376608

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.

39 : 1, 3, 13, 39

74 : 1, 2, 37, 74

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 39,74,18,296, is 1.

Now, the common factors can be found like this.

39:3x 13

74:2x 37

18:2x 3x 3

296:2x 2x 2x 37

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 3x 37 = 444

Therefore, the value for common factors is 444.

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 = 15376608/(1x444)

LCM = 15376608/444

LCM = 34632

Thus, we can understand that the LCM of 39,74,18,296 is 34632.

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

• LCM of 48, 48, 16, 139
• LCM of 72, 56, 45, 410
• LCM of 25, 23, 25, 538
• LCM of 42, 88, 26, 989
• LCM of 21, 20, 41, 365

1. What is the LCM of 39, 74, 18, 296?

Answer: LCM of 39, 74, 18, 296 is 34632.

2. How to calculate the LCM of 39, 74, 18, 296?

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 39, 74, 18, 296.

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}.