Given numbers are 742,797,514,312

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

The LCM of 742,797,514,312 is 23709366408.

Find LCM of 742,797,514,312 with Prime Factorization

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

2 x 371 x 797 x 257 x 156 = 23709366408

Therefore, the lowest common multiple of 742,797,514,312 is 23709366408.

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 797 x 514 x 312 = 94837465632

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

797 : 1, 797

514 : 1, 2, 257, 514

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,797,514,312, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

797:797

514:2x 257

312:2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 94837465632/(1x4)

LCM = 94837465632/4

LCM = 23709366408

Thus, we can understand that the LCM of 742,797,514,312 is 23709366408.

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

• LCM of 409, 852, 600, 104
• LCM of 149, 775, 135, 697
• LCM of 572, 404, 817, 105
• LCM of 443, 733, 387, 502
• LCM of 159, 674, 986, 372

1. What is the LCM of 742, 797, 514, 312?

Answer: LCM of 742, 797, 514, 312 is 23709366408.

2. How to calculate the LCM of 742, 797, 514, 312?

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, 797, 514, 312.

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}.