Given numbers are 414,271,884,528,741

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

The LCM of 414,271,884,528,741 is 41457029328.

Find LCM of 414,271,884,528,741 with Prime Factorization

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

2 x 2 x 3 x 13 x 69 x 271 x 17 x 44 x 19 = 41457029328

Therefore, the lowest common multiple of 414,271,884,528,741 is 41457029328.

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.

414 x 271 x 884 x 528 x 741 = 38803779451008

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

271 : 1, 271

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,271,884,528,741, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

271:271

884:2x 2x 13x 17

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

741:3x 13x 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 2x 2x 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 38803779451008/(1x936)

LCM = 38803779451008/936

LCM = 41457029328

Thus, we can understand that the LCM of 414,271,884,528,741 is 41457029328.

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

• LCM of 142, 933, 724, 428, 605
• LCM of 871, 798, 583, 962, 264
• LCM of 957, 601, 542, 109, 659
• LCM of 621, 219, 834, 291, 128
• LCM of 137, 378, 475, 365, 645

1. What is the LCM of 414, 271, 884, 528, 741?

Answer: LCM of 414, 271, 884, 528, 741 is 41457029328.

2. How to calculate the LCM of 414, 271, 884, 528, 741?

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 414, 271, 884, 528, 741.

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}.