Given numbers are 936,816,901,782

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

The LCM of 936,816,901,782 is 38793456.

Find LCM of 936,816,901,782 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 39 x 2 x 53 x 23 = 38793456

Therefore, the lowest common multiple of 936,816,901,782 is 38793456.

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 816 x 901 x 782 = 538142821632

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

901 : 1, 17, 53, 901

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,816,901,782, is 1.

Now, the common factors can be found like this.

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

816:2x 2x 2x 2x 3x 17

901:17x 53

782:2x 17x 23

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 3x 17x 17 = 13872

Therefore, the value for common factors is 13872.

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 = 538142821632/(1x13872)

LCM = 538142821632/13872

LCM = 38793456

Thus, we can understand that the LCM of 936,816,901,782 is 38793456.

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

• LCM of 694, 396, 271, 591
• LCM of 736, 323, 376, 319
• LCM of 820, 434, 706, 934
• LCM of 294, 973, 803, 537
• LCM of 408, 730, 425, 175

1. What is the LCM of 936, 816, 901, 782?

Answer: LCM of 936, 816, 901, 782 is 38793456.

2. How to calculate the LCM of 936, 816, 901, 782?

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, 816, 901, 782.

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}.