Given numbers are 6974,8842

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

The LCM of 6974,8842 is 30832054.

Find LCM of 6974,8842 with Prime Factorization

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

2 x 3487 x 4421 = 30832054

Therefore, the lowest common multiple of 6974,8842 is 30832054.

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.

6974 x 8842 = 61664108

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.

6974 : 1, 2, 11, 22, 317, 634, 3487, 6974

8842 : 1, 2, 4421, 8842

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6974,8842, is 2.

Now, the common factors can be found like this.

6974:2x 11x 317

8842:2x 4421

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 = 61664108/(2x1)

LCM = 61664108/2

LCM = 30832054

Thus, we can understand that the LCM of 6974,8842 is 30832054.

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

• LCM of 3360, 2315
• LCM of 3819, 7225
• LCM of 2814, 3815
• LCM of 1900, 3301
• LCM of 6120, 6478

1. What is the LCM of 6974, 8842?

Answer: LCM of 6974, 8842 is 30832054.

2. How to calculate the LCM of 6974, 8842?

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 6974, 8842.

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}.