Given numbers are 826,212,269,399

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

The LCM of 826,212,269,399 is 1342496148.

Find LCM of 826,212,269,399 with Prime Factorization

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

2 x 7 x 59 x 106 x 269 x 57 = 1342496148

Therefore, the lowest common multiple of 826,212,269,399 is 1342496148.

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 212 x 269 x 399 = 18794946072

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

212 : 1, 2, 4, 53, 106, 212

269 : 1, 269

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,212,269,399, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

212:2x 2x 53

269:269

399:3x 7x 19

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 18794946072/(1x14)

LCM = 18794946072/14

LCM = 1342496148

Thus, we can understand that the LCM of 826,212,269,399 is 1342496148.

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

• LCM of 844, 954, 816, 923
• LCM of 210, 104, 809, 669
• LCM of 321, 554, 157, 651
• LCM of 864, 372, 998, 531
• LCM of 735, 482, 643, 610

1. What is the LCM of 826, 212, 269, 399?

Answer: LCM of 826, 212, 269, 399 is 1342496148.

2. How to calculate the LCM of 826, 212, 269, 399?

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, 212, 269, 399.

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}.