Given numbers are 3082,1462

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

The LCM of 3082,1462 is 2252942.

Find LCM of 3082,1462 with Prime Factorization

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

2 x 1541 x 731 = 2252942

Therefore, the lowest common multiple of 3082,1462 is 2252942.

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.

3082 x 1462 = 4505884

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.

3082 : 1, 2, 23, 46, 67, 134, 1541, 3082

1462 : 1, 2, 17, 34, 43, 86, 731, 1462

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3082,1462, is 2.

Now, the common factors can be found like this.

3082:2x 23x 67

1462:2x 17x 43

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 = 4505884/(2x1)

LCM = 4505884/2

LCM = 2252942

Thus, we can understand that the LCM of 3082,1462 is 2252942.

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

• LCM of 4228, 1733
• LCM of 8342, 5731
• LCM of 5330, 7954
• LCM of 7832, 6291
• LCM of 7064, 8123

1. What is the LCM of 3082, 1462?

Answer: LCM of 3082, 1462 is 2252942.

2. How to calculate the LCM of 3082, 1462?

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 3082, 1462.

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}.