Given numbers are 562,816,676,117,765

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

The LCM of 562,816,676,117,765 is 581265360.

Find LCM of 562,816,676,117,765 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 17 x 281 x 4 x 1 x 13 x 5 = 581265360

Therefore, the lowest common multiple of 562,816,676,117,765 is 581265360.

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.

562 x 816 x 676 x 117 x 765 = 27747283224960

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.

562 : 1, 2, 281, 562

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

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

117 : 1, 3, 9, 13, 39, 117

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,816,676,117,765, is 1.

Now, the common factors can be found like this.

562:2x 281

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

676:2x 2x 13x 13

117:3x 3x 13

765:3x 3x 5x 17

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 3x 13x 17 = 47736

Therefore, the value for common factors is 47736.

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 = 27747283224960/(1x47736)

LCM = 27747283224960/47736

LCM = 581265360

Thus, we can understand that the LCM of 562,816,676,117,765 is 581265360.

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

• LCM of 951, 778, 158, 376, 474
• LCM of 145, 215, 454, 708, 683
• LCM of 393, 332, 172, 732, 921
• LCM of 822, 202, 452, 857, 112
• LCM of 146, 587, 184, 327, 959

1. What is the LCM of 562, 816, 676, 117, 765?

Answer: LCM of 562, 816, 676, 117, 765 is 581265360.

2. How to calculate the LCM of 562, 816, 676, 117, 765?

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 562, 816, 676, 117, 765.

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}.