Given numbers are 427,286,528,374,641

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

The LCM of 427,286,528,374,641 is 31938322416.

Find LCM of 427,286,528,374,641 with Prime Factorization

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

2 x 11 x 427 x 13 x 24 x 17 x 641 = 31938322416

Therefore, the lowest common multiple of 427,286,528,374,641 is 31938322416.

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.

427 x 286 x 528 x 374 x 641 = 15458148049344

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.

427 : 1, 7, 61, 427

286 : 1, 2, 11, 13, 22, 26, 143, 286

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

641 : 1, 641

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,286,528,374,641, is 1.

Now, the common factors can be found like this.

427:7x 61

286:2x 11x 13

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

374:2x 11x 17

641:641

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 15458148049344/(1x484)

LCM = 15458148049344/484

LCM = 31938322416

Thus, we can understand that the LCM of 427,286,528,374,641 is 31938322416.

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

• LCM of 586, 474, 791, 909, 729
• LCM of 349, 539, 357, 244, 232
• LCM of 940, 448, 820, 150, 448
• LCM of 358, 886, 675, 325, 445
• LCM of 476, 455, 852, 218, 245

1. What is the LCM of 427, 286, 528, 374, 641?

Answer: LCM of 427, 286, 528, 374, 641 is 31938322416.

2. How to calculate the LCM of 427, 286, 528, 374, 641?

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 427, 286, 528, 374, 641.

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}.