Given numbers are 9214,6170

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

The LCM of 9214,6170 is 28425190.

Find LCM of 9214,6170 with Prime Factorization

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

2 x 4607 x 3085 = 28425190

Therefore, the lowest common multiple of 9214,6170 is 28425190.

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.

9214 x 6170 = 56850380

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.

9214 : 1, 2, 17, 34, 271, 542, 4607, 9214

6170 : 1, 2, 5, 10, 617, 1234, 3085, 6170

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9214,6170, is 2.

Now, the common factors can be found like this.

9214:2x 17x 271

6170:2x 5x 617

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 = 56850380/(2x1)

LCM = 56850380/2

LCM = 28425190

Thus, we can understand that the LCM of 9214,6170 is 28425190.

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

• LCM of 1202, 7826
• LCM of 2580, 5774
• LCM of 8161, 3298
• LCM of 6638, 6327
• LCM of 4929, 6234

1. What is the LCM of 9214, 6170?

Answer: LCM of 9214, 6170 is 28425190.

2. How to calculate the LCM of 9214, 6170?

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 9214, 6170.

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}.