Given numbers are 455,676,145,195,871

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

The LCM of 455,676,145,195,871 is 137914140.

Find LCM of 455,676,145,195,871 with Prime Factorization

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

5 x 13 x 7 x 52 x 29 x 3 x 67 = 137914140

Therefore, the lowest common multiple of 455,676,145,195,871 is 137914140.

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.

455 x 676 x 145 x 195 x 871 = 7574934139500

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

145 : 1, 5, 29, 145

195 : 1, 3, 5, 13, 15, 39, 65, 195

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,676,145,195,871, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

676:2x 2x 13x 13

145:5x 29

195:3x 5x 13

871:13x 67

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

5x 5x 13x 13x 13 = 54925

Therefore, the value for common factors is 54925.

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 = 7574934139500/(1x54925)

LCM = 7574934139500/54925

LCM = 137914140

Thus, we can understand that the LCM of 455,676,145,195,871 is 137914140.

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

• LCM of 885, 729, 328, 532, 731
• LCM of 813, 308, 689, 236, 874
• LCM of 368, 682, 219, 600, 349
• LCM of 189, 774, 753, 135, 614
• LCM of 300, 411, 312, 844, 291

1. What is the LCM of 455, 676, 145, 195, 871?

Answer: LCM of 455, 676, 145, 195, 871 is 137914140.

2. How to calculate the LCM of 455, 676, 145, 195, 871?

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 455, 676, 145, 195, 871.

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}.