Given numbers are 936,407,798,514

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

The LCM of 936,407,798,514 is 13021320312.

Find LCM of 936,407,798,514 with Prime Factorization

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

2 x 3 x 156 x 407 x 133 x 257 = 13021320312

Therefore, the lowest common multiple of 936,407,798,514 is 13021320312.

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.

936 x 407 x 798 x 514 = 156255843744

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

407 : 1, 11, 37, 407

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,407,798,514, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

407:11x 37

798:2x 3x 7x 19

514:2x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 156255843744/(1x12)

LCM = 156255843744/12

LCM = 13021320312

Thus, we can understand that the LCM of 936,407,798,514 is 13021320312.

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

• LCM of 510, 811, 280, 756
• LCM of 132, 946, 595, 436
• LCM of 909, 897, 259, 918
• LCM of 658, 855, 398, 524
• LCM of 858, 752, 266, 255

1. What is the LCM of 936, 407, 798, 514?

Answer: LCM of 936, 407, 798, 514 is 13021320312.

2. How to calculate the LCM of 936, 407, 798, 514?

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 936, 407, 798, 514.

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}.