Given numbers are 816,428,642,252,751

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

The LCM of 816,428,642,252,751 is 1376997552.

Find LCM of 816,428,642,252,751 with Prime Factorization

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

2 x 2 x 3 x 107 x 68 x 1 x 1 x 21 x 751 = 1376997552

Therefore, the lowest common multiple of 816,428,642,252,751 is 1376997552.

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.

816 x 428 x 642 x 252 x 751 = 42433556562432

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

428 : 1, 2, 4, 107, 214, 428

642 : 1, 2, 3, 6, 107, 214, 321, 642

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,428,642,252,751, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

428:2x 2x 107

642:2x 3x 107

252:2x 2x 3x 3x 7

751:751

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 2x 2x 3x 3x 107 = 30816

Therefore, the value for common factors is 30816.

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 = 42433556562432/(1x30816)

LCM = 42433556562432/30816

LCM = 1376997552

Thus, we can understand that the LCM of 816,428,642,252,751 is 1376997552.

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

• LCM of 560, 792, 202, 163, 506
• LCM of 765, 459, 347, 714, 321
• LCM of 645, 883, 510, 887, 513
• LCM of 286, 933, 901, 855, 133
• LCM of 651, 187, 284, 741, 104

1. What is the LCM of 816, 428, 642, 252, 751?

Answer: LCM of 816, 428, 642, 252, 751 is 1376997552.

2. How to calculate the LCM of 816, 428, 642, 252, 751?

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 816, 428, 642, 252, 751.

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}.