Given numbers are 996,816,588,349

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

The LCM of 996,816,588,349 is 1158216528.

Find LCM of 996,816,588,349 with Prime Factorization

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

2 x 2 x 3 x 83 x 68 x 49 x 349 = 1158216528

Therefore, the lowest common multiple of 996,816,588,349 is 1158216528.

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.

996 x 816 x 588 x 349 = 166783180032

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,816,588,349, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

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

588:2x 2x 3x 7x 7

349:349

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 166783180032/(1x144)

LCM = 166783180032/144

LCM = 1158216528

Thus, we can understand that the LCM of 996,816,588,349 is 1158216528.

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

• LCM of 947, 804, 671, 295
• LCM of 107, 157, 395, 491
• LCM of 378, 231, 761, 554
• LCM of 509, 693, 744, 525
• LCM of 438, 923, 725, 290

1. What is the LCM of 996, 816, 588, 349?

Answer: LCM of 996, 816, 588, 349 is 1158216528.

2. How to calculate the LCM of 996, 816, 588, 349?

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 996, 816, 588, 349.

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}.