Given numbers are 742,924,996,752,216

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

The LCM of 742,924,996,752,216 is 6877431792.

Find LCM of 742,924,996,752,216 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 53 x 11 x 83 x 94 x 9 = 6877431792

Therefore, the lowest common multiple of 742,924,996,752,216 is 6877431792.

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.

742 x 924 x 996 x 752 x 216 = 110919219941376

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,924,996,752,216, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

924:2x 2x 3x 7x 11

996:2x 2x 3x 83

752:2x 2x 2x 2x 47

216:2x 2x 2x 3x 3x 3

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 2x 2x 3x 3x 7 = 8064

Therefore, the value for common factors is 8064.

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 = 110919219941376/(2x8064)

LCM = 110919219941376/16128

LCM = 6877431792

Thus, we can understand that the LCM of 742,924,996,752,216 is 6877431792.

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

• LCM of 594, 672, 535, 772, 371
• LCM of 883, 388, 230, 629, 250
• LCM of 290, 979, 168, 628, 478
• LCM of 822, 780, 520, 264, 380
• LCM of 677, 990, 627, 374, 241

1. What is the LCM of 742, 924, 996, 752, 216?

Answer: LCM of 742, 924, 996, 752, 216 is 6877431792.

2. How to calculate the LCM of 742, 924, 996, 752, 216?

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 742, 924, 996, 752, 216.

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}.