Given numbers are 878,214,210

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

The LCM of 878,214,210 is 9864330.

Find LCM of 878,214,210 with Prime Factorization

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

2 x 439 x 107 x 105 = 9864330

Therefore, the lowest common multiple of 878,214,210 is 9864330.

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.

878 x 214 x 210 = 39457320

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.

878 : 1, 2, 439, 878

214 : 1, 2, 107, 214

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,214,210, is 2.

Now, the common factors can be found like this.

878:2x 439

214:2x 107

210:2x 3x 5x 7

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 = 39457320/(2x2)

LCM = 39457320/4

LCM = 9864330

Thus, we can understand that the LCM of 878,214,210 is 9864330.

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

• LCM of 675, 406, 563
• LCM of 512, 128, 815
• LCM of 331, 954, 284
• LCM of 694, 194, 371
• LCM of 105, 941, 100

1. What is the LCM of 878, 214, 210?

Answer: LCM of 878, 214, 210 is 9864330.

2. How to calculate the LCM of 878, 214, 210?

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 878, 214, 210.

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}.