Given numbers are 834,21,678

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

The LCM of 834,21,678 is 659694.

Find LCM of 834,21,678 with Prime Factorization

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

2 x 3 x 139 x 7 x 113 = 659694

Therefore, the lowest common multiple of 834,21,678 is 659694.

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.

834 x 21 x 678 = 11874492

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

21 : 1, 3, 7, 21

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,21,678, is 3.

Now, the common factors can be found like this.

834:2x 3x 139

21:3x 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.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 11874492/(3x6)

LCM = 11874492/18

LCM = 659694

Thus, we can understand that the LCM of 834,21,678 is 659694.

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

• LCM of 980, 31, 714
• LCM of 368, 30, 636
• LCM of 274, 97, 581
• LCM of 780, 26, 458
• LCM of 630, 98, 386

1. What is the LCM of 834, 21, 678?

Answer: LCM of 834, 21, 678 is 659694.

2. How to calculate the LCM of 834, 21, 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 834, 21, 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}.