Given numbers are 878,734,216,214

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

The LCM of 878,734,216,214 is 3723643656.

Find LCM of 878,734,216,214 with Prime Factorization

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

2 x 439 x 367 x 108 x 107 = 3723643656

Therefore, the lowest common multiple of 878,734,216,214 is 3723643656.

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 734 x 216 x 214 = 29789149248

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

734 : 1, 2, 367, 734

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,734,216,214, is 2.

Now, the common factors can be found like this.

878:2x 439

734:2x 367

216:2x 2x 2x 3x 3x 3

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29789149248/(2x4)

LCM = 29789149248/8

LCM = 3723643656

Thus, we can understand that the LCM of 878,734,216,214 is 3723643656.

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

• LCM of 227, 393, 853, 543
• LCM of 771, 915, 403, 843
• LCM of 109, 171, 169, 157
• LCM of 290, 754, 321, 258
• LCM of 725, 817, 194, 699

1. What is the LCM of 878, 734, 216, 214?

Answer: LCM of 878, 734, 216, 214 is 3723643656.

2. How to calculate the LCM of 878, 734, 216, 214?

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, 734, 216, 214.

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}.