Given numbers are 12,69,878

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

The LCM of 12,69,878 is 121164.

Find LCM of 12,69,878 with Prime Factorization

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

2 x 3 x 2 x 23 x 439 = 121164

Therefore, the lowest common multiple of 12,69,878 is 121164.

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.

12 x 69 x 878 = 726984

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.

12 : 1, 2, 3, 4, 6, 12

69 : 1, 3, 23, 69

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 12,69,878, is 1.

Now, the common factors can be found like this.

12:2x 2x 3

69:3x 23

878:2x 439

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 = 726984/(1x6)

LCM = 726984/6

LCM = 121164

Thus, we can understand that the LCM of 12,69,878 is 121164.

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

• LCM of 98, 84, 123
• LCM of 74, 10, 741
• LCM of 96, 60, 810
• LCM of 34, 13, 949
• LCM of 93, 63, 442

1. What is the LCM of 12, 69, 878?

Answer: LCM of 12, 69, 878 is 121164.

2. How to calculate the LCM of 12, 69, 878?

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 12, 69, 878.

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}.