Given numbers are 796,722,301,412,924

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

The LCM of 796,722,301,412,924 is 293993636244.

Find LCM of 796,722,301,412,924 with Prime Factorization

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

2 x 2 x 7 x 199 x 361 x 43 x 103 x 33 = 293993636244

Therefore, the lowest common multiple of 796,722,301,412,924 is 293993636244.

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.

796 x 722 x 301 x 412 x 924 = 65854574518656

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.

796 : 1, 2, 4, 199, 398, 796

722 : 1, 2, 19, 38, 361, 722

301 : 1, 7, 43, 301

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,722,301,412,924, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

722:2x 19x 19

301:7x 43

412:2x 2x 103

924:2x 2x 3x 7x 11

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 7 = 224

Therefore, the value for common factors is 224.

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 = 65854574518656/(1x224)

LCM = 65854574518656/224

LCM = 293993636244

Thus, we can understand that the LCM of 796,722,301,412,924 is 293993636244.

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

• LCM of 999, 383, 932, 978, 463
• LCM of 790, 678, 776, 682, 579
• LCM of 931, 804, 187, 243, 329
• LCM of 811, 953, 886, 410, 751
• LCM of 144, 535, 967, 280, 607

1. What is the LCM of 796, 722, 301, 412, 924?

Answer: LCM of 796, 722, 301, 412, 924 is 293993636244.

2. How to calculate the LCM of 796, 722, 301, 412, 924?

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 796, 722, 301, 412, 924.

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}.