Given numbers are 52,34,172

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

The LCM of 52,34,172 is 38012.

Find LCM of 52,34,172 with Prime Factorization

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

2 x 2 x 13 x 17 x 43 = 38012

Therefore, the lowest common multiple of 52,34,172 is 38012.

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.

52 x 34 x 172 = 304096

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.

52 : 1, 2, 4, 13, 26, 52

34 : 1, 2, 17, 34

172 : 1, 2, 4, 43, 86, 172

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 52,34,172, is 2.

Now, the common factors can be found like this.

52:2x 2x 13

34:2x 17

172:2x 2x 43

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 = 304096/(2x4)

LCM = 304096/8

LCM = 38012

Thus, we can understand that the LCM of 52,34,172 is 38012.

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

• LCM of 28, 75, 674
• LCM of 13, 63, 492
• LCM of 16, 91, 719
• LCM of 63, 25, 364
• LCM of 74, 42, 899

1. What is the LCM of 52, 34, 172?

Answer: LCM of 52, 34, 172 is 38012.

2. How to calculate the LCM of 52, 34, 172?

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 52, 34, 172.

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}.