Given numbers are 826,214,523,916

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

The LCM of 826,214,523,916 is 21170493988.

Find LCM of 826,214,523,916 with Prime Factorization

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

2 x 413 x 107 x 523 x 458 = 21170493988

Therefore, the lowest common multiple of 826,214,523,916 is 21170493988.

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.

826 x 214 x 523 x 916 = 84681975952

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

214 : 1, 2, 107, 214

523 : 1, 523

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,214,523,916, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

214:2x 107

523:523

916:2x 2x 229

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 = 84681975952/(1x4)

LCM = 84681975952/4

LCM = 21170493988

Thus, we can understand that the LCM of 826,214,523,916 is 21170493988.

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

• LCM of 628, 499, 441, 832
• LCM of 952, 309, 194, 447
• LCM of 350, 289, 502, 794
• LCM of 684, 982, 716, 251
• LCM of 674, 341, 282, 137

1. What is the LCM of 826, 214, 523, 916?

Answer: LCM of 826, 214, 523, 916 is 21170493988.

2. How to calculate the LCM of 826, 214, 523, 916?

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 826, 214, 523, 916.

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}.