Given numbers are 97,16,34,342

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

The LCM of 97,16,34,342 is 4511664.

Find LCM of 97,16,34,342 with Prime Factorization

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

2 x 97 x 8 x 17 x 171 = 4511664

Therefore, the lowest common multiple of 97,16,34,342 is 4511664.

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.

97 x 16 x 34 x 342 = 18046656

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.

97 : 1, 97

16 : 1, 2, 4, 8, 16

34 : 1, 2, 17, 34

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 97,16,34,342, is 1.

Now, the common factors can be found like this.

97:97

16:2x 2x 2x 2

34:2x 17

342:2x 3x 3x 19

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 = 18046656/(1x4)

LCM = 18046656/4

LCM = 4511664

Thus, we can understand that the LCM of 97,16,34,342 is 4511664.

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

• LCM of 12, 61, 73, 130
• LCM of 73, 50, 29, 679
• LCM of 30, 56, 36, 722
• LCM of 96, 84, 54, 523
• LCM of 53, 98, 54, 732

1. What is the LCM of 97, 16, 34, 342?

Answer: LCM of 97, 16, 34, 342 is 4511664.

2. How to calculate the LCM of 97, 16, 34, 342?

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 97, 16, 34, 342.

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}.