Given numbers are 3174,5217

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

The LCM of 3174,5217 is 5519586.

Find LCM of 3174,5217 with Prime Factorization

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

3 x 1058 x 1739 = 5519586

Therefore, the lowest common multiple of 3174,5217 is 5519586.

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.

3174 x 5217 = 16558758

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.

3174 : 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174

5217 : 1, 3, 37, 47, 111, 141, 1739, 5217

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3174,5217, is 3.

Now, the common factors can be found like this.

3174:2x 3x 23x 23

5217:3x 37x 47

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

= 1

Therefore, the value for common factors is 1.

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 = 16558758/(3x1)

LCM = 16558758/3

LCM = 5519586

Thus, we can understand that the LCM of 3174,5217 is 5519586.

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

• LCM of 3763, 3952
• LCM of 6278, 3126
• LCM of 2685, 9001
• LCM of 4516, 8638
• LCM of 2688, 8818

1. What is the LCM of 3174, 5217?

Answer: LCM of 3174, 5217 is 5519586.

2. How to calculate the LCM of 3174, 5217?

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 3174, 5217.

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}.