Given numbers are 536,756,506,736,772

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

The LCM of 536,756,506,736,772 is 19786292064.

Find LCM of 536,756,506,736,772 with Prime Factorization

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

2 x 2 x 2 x 23 x 67 x 189 x 11 x 4 x 193 = 19786292064

Therefore, the lowest common multiple of 536,756,506,736,772 is 19786292064.

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.

536 x 756 x 506 x 736 x 772 = 116501687672832

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

506 : 1, 2, 11, 22, 23, 46, 253, 506

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,756,506,736,772, is 2.

Now, the common factors can be found like this.

536:2x 2x 2x 67

756:2x 2x 3x 3x 3x 7

506:2x 11x 23

736:2x 2x 2x 2x 2x 23

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 2x 2x 23 = 2944

Therefore, the value for common factors is 2944.

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 = 116501687672832/(2x2944)

LCM = 116501687672832/5888

LCM = 19786292064

Thus, we can understand that the LCM of 536,756,506,736,772 is 19786292064.

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

• LCM of 852, 984, 403, 569, 297
• LCM of 706, 366, 227, 281, 977
• LCM of 687, 623, 429, 645, 409
• LCM of 505, 143, 680, 596, 788
• LCM of 185, 663, 617, 700, 131

1. What is the LCM of 536, 756, 506, 736, 772?

Answer: LCM of 536, 756, 506, 736, 772 is 19786292064.

2. How to calculate the LCM of 536, 756, 506, 736, 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 536, 756, 506, 736, 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}.