Given numbers are 842,14,678

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

The LCM of 842,14,678 is 1998066.

Find LCM of 842,14,678 with Prime Factorization

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

2 x 421 x 7 x 339 = 1998066

Therefore, the lowest common multiple of 842,14,678 is 1998066.

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.

842 x 14 x 678 = 7992264

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.

842 : 1, 2, 421, 842

14 : 1, 2, 7, 14

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,14,678, is 2.

Now, the common factors can be found like this.

842:2x 421

14:2x 7

678:2x 3x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7992264/(2x2)

LCM = 7992264/4

LCM = 1998066

Thus, we can understand that the LCM of 842,14,678 is 1998066.

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

• LCM of 602, 76, 548
• LCM of 290, 23, 374
• LCM of 189, 15, 963
• LCM of 387, 18, 772
• LCM of 636, 33, 751

1. What is the LCM of 842, 14, 678?

Answer: LCM of 842, 14, 678 is 1998066.

2. How to calculate the LCM of 842, 14, 678?

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 842, 14, 678.

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}.