Given numbers are 214,528,835,869

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

The LCM of 214,528,835,869 is 3726758640.

Find LCM of 214,528,835,869 with Prime Factorization

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

2 x 11 x 107 x 24 x 835 x 79 = 3726758640

Therefore, the lowest common multiple of 214,528,835,869 is 3726758640.

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.

214 x 528 x 835 x 869 = 81988690080

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.

214 : 1, 2, 107, 214

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

835 : 1, 5, 167, 835

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,528,835,869, is 1.

Now, the common factors can be found like this.

214:2x 107

528:2x 2x 2x 2x 3x 11

835:5x 167

869:11x 79

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 81988690080/(1x22)

LCM = 81988690080/22

LCM = 3726758640

Thus, we can understand that the LCM of 214,528,835,869 is 3726758640.

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

• LCM of 700, 566, 233, 675
• LCM of 449, 299, 579, 916
• LCM of 831, 865, 183, 147
• LCM of 366, 116, 670, 706
• LCM of 369, 560, 614, 411

1. What is the LCM of 214, 528, 835, 869?

Answer: LCM of 214, 528, 835, 869 is 3726758640.

2. How to calculate the LCM of 214, 528, 835, 869?

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 214, 528, 835, 869.

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}.