Given numbers are 82,10,32,362

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

The LCM of 82,10,32,362 is 1187360.

Find LCM of 82,10,32,362 with Prime Factorization

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

2 x 41 x 5 x 16 x 181 = 1187360

Therefore, the lowest common multiple of 82,10,32,362 is 1187360.

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.

82 x 10 x 32 x 362 = 9498880

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.

82 : 1, 2, 41, 82

10 : 1, 2, 5, 10

32 : 1, 2, 4, 8, 16, 32

362 : 1, 2, 181, 362

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 82,10,32,362, is 2.

Now, the common factors can be found like this.

82:2x 41

10:2x 5

32:2x 2x 2x 2x 2

362:2x 181

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9498880/(2x4)

LCM = 9498880/8

LCM = 1187360

Thus, we can understand that the LCM of 82,10,32,362 is 1187360.

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

• LCM of 79, 47, 25, 873
• LCM of 90, 95, 86, 558
• LCM of 20, 31, 90, 855
• LCM of 83, 21, 32, 859
• LCM of 12, 91, 49, 670

1. What is the LCM of 82, 10, 32, 362?

Answer: LCM of 82, 10, 32, 362 is 1187360.

2. How to calculate the LCM of 82, 10, 32, 362?

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 82, 10, 32, 362.

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}.