Given numbers are 82,76,874

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

The LCM of 82,76,874 is 71668.

Find LCM of 82,76,874 with Prime Factorization

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

2 x 19 x 41 x 2 x 23 = 71668

Therefore, the lowest common multiple of 82,76,874 is 71668.

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 76 x 874 = 5446768

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

76 : 1, 2, 4, 19, 38, 76

874 : 1, 2, 19, 23, 38, 46, 437, 874

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 82,76,874, is 2.

Now, the common factors can be found like this.

82:2x 41

76:2x 2x 19

874:2x 19x 23

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 5446768/(2x38)

LCM = 5446768/76

LCM = 71668

Thus, we can understand that the LCM of 82,76,874 is 71668.

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

• LCM of 41, 83, 349
• LCM of 93, 81, 945
• LCM of 34, 52, 909
• LCM of 62, 48, 625
• LCM of 88, 32, 143

1. What is the LCM of 82, 76, 874?

Answer: LCM of 82, 76, 874 is 71668.

2. How to calculate the LCM of 82, 76, 874?

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, 76, 874.

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}.