Given numbers are 936,339,574,170,814

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

The LCM of 936,339,574,170,814 is 1050145616520.

Find LCM of 936,339,574,170,814 with Prime Factorization

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

2 x 3 x 156 x 113 x 287 x 85 x 407 = 1050145616520

Therefore, the lowest common multiple of 936,339,574,170,814 is 1050145616520.

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 339 x 574 x 170 x 814 = 25203494796480

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

339 : 1, 3, 113, 339

574 : 1, 2, 7, 14, 41, 82, 287, 574

170 : 1, 2, 5, 10, 17, 34, 85, 170

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,339,574,170,814, is 1.

Now, the common factors can be found like this.

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

339:3x 113

574:2x 7x 41

170:2x 5x 17

814:2x 11x 37

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 3 = 24

Therefore, the value for common factors is 24.

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 = 25203494796480/(1x24)

LCM = 25203494796480/24

LCM = 1050145616520

Thus, we can understand that the LCM of 936,339,574,170,814 is 1050145616520.

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

• LCM of 516, 926, 694, 910, 136
• LCM of 409, 446, 389, 290, 924
• LCM of 481, 472, 114, 520, 478
• LCM of 442, 370, 918, 776, 590
• LCM of 240, 552, 259, 809, 219

1. What is the LCM of 936, 339, 574, 170, 814?

Answer: LCM of 936, 339, 574, 170, 814 is 1050145616520.

2. How to calculate the LCM of 936, 339, 574, 170, 814?

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, 339, 574, 170, 814.

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}.