Given numbers are 426,121,585,129,722

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

The LCM of 426,121,585,129,722 is 156028968810.

Find LCM of 426,121,585,129,722 with Prime Factorization

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

2 x 3 x 71 x 121 x 195 x 43 x 361 = 156028968810

Therefore, the lowest common multiple of 426,121,585,129,722 is 156028968810.

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.

426 x 121 x 585 x 129 x 722 = 2808521438580

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

121 : 1, 11, 121

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

129 : 1, 3, 43, 129

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,121,585,129,722, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

121:11x 11

585:3x 3x 5x 13

129:3x 43

722:2x 19x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2808521438580/(1x18)

LCM = 2808521438580/18

LCM = 156028968810

Thus, we can understand that the LCM of 426,121,585,129,722 is 156028968810.

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

• LCM of 693, 793, 618, 933, 512
• LCM of 946, 804, 511, 731, 180
• LCM of 672, 132, 144, 349, 388
• LCM of 691, 487, 131, 551, 585
• LCM of 781, 508, 764, 936, 952

1. What is the LCM of 426, 121, 585, 129, 722?

Answer: LCM of 426, 121, 585, 129, 722 is 156028968810.

2. How to calculate the LCM of 426, 121, 585, 129, 722?

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 426, 121, 585, 129, 722.

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}.