Given numbers are 924,696,498,514,701

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

The LCM of 924,696,498,514,701 is 801362837352.

Find LCM of 924,696,498,514,701 with Prime Factorization

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

2 x 2 x 3 x 77 x 58 x 83 x 257 x 701 = 801362837352

Therefore, the lowest common multiple of 924,696,498,514,701 is 801362837352.

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.

924 x 696 x 498 x 514 x 701 = 115396248578688

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

498 : 1, 2, 3, 6, 83, 166, 249, 498

514 : 1, 2, 257, 514

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,696,498,514,701, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

696:2x 2x 2x 3x 29

498:2x 3x 83

514:2x 257

701:701

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 = 115396248578688/(1x144)

LCM = 115396248578688/144

LCM = 801362837352

Thus, we can understand that the LCM of 924,696,498,514,701 is 801362837352.

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

• LCM of 193, 819, 654, 574, 501
• LCM of 452, 650, 622, 286, 644
• LCM of 122, 451, 123, 997, 844
• LCM of 993, 649, 162, 774, 846
• LCM of 586, 955, 325, 426, 489

1. What is the LCM of 924, 696, 498, 514, 701?

Answer: LCM of 924, 696, 498, 514, 701 is 801362837352.

2. How to calculate the LCM of 924, 696, 498, 514, 701?

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 924, 696, 498, 514, 701.

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}.