Given numbers are 1084,8214

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

The LCM of 1084,8214 is 4451988.

Find LCM of 1084,8214 with Prime Factorization

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

2 x 542 x 4107 = 4451988

Therefore, the lowest common multiple of 1084,8214 is 4451988.

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.

1084 x 8214 = 8903976

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.

1084 : 1, 2, 4, 271, 542, 1084

8214 : 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1084,8214, is 2.

Now, the common factors can be found like this.

1084:2x 2x 271

8214:2x 3x 37x 37

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 = 8903976/(2x1)

LCM = 8903976/2

LCM = 4451988

Thus, we can understand that the LCM of 1084,8214 is 4451988.

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

• LCM of 8400, 7128
• LCM of 2204, 5427
• LCM of 3019, 1545
• LCM of 8992, 3977
• LCM of 8982, 1426

1. What is the LCM of 1084, 8214?

Answer: LCM of 1084, 8214 is 4451988.

2. How to calculate the LCM of 1084, 8214?

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 1084, 8214.

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}.