Given numbers are 792,936,420,772

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

The LCM of 792,936,420,772 is 69549480.

Find LCM of 792,936,420,772 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 13 x 35 x 193 = 69549480

Therefore, the lowest common multiple of 792,936,420,772 is 69549480.

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.

792 x 936 x 420 x 772 = 240363002880

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

772 : 1, 2, 4, 193, 386, 772

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,936,420,772, is 4.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

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

420:2x 2x 3x 5x 7

772:2x 2x 193

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 240363002880/(4x864)

LCM = 240363002880/3456

LCM = 69549480

Thus, we can understand that the LCM of 792,936,420,772 is 69549480.

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

• LCM of 774, 528, 276, 623
• LCM of 508, 723, 143, 687
• LCM of 187, 880, 461, 897
• LCM of 272, 520, 302, 199
• LCM of 929, 964, 625, 458

1. What is the LCM of 792, 936, 420, 772?

Answer: LCM of 792, 936, 420, 772 is 69549480.

2. How to calculate the LCM of 792, 936, 420, 772?

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 792, 936, 420, 772.

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}.