Given numbers are 820,660,531,128,772

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

The LCM of 820,660,531,128,772 is 29580693120.

Find LCM of 820,660,531,128,772 with Prime Factorization

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

2 x 2 x 3 x 5 x 41 x 11 x 177 x 32 x 193 = 29580693120

Therefore, the lowest common multiple of 820,660,531,128,772 is 29580693120.

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.

820 x 660 x 531 x 128 x 772 = 28397465395200

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

531 : 1, 3, 9, 59, 177, 531

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,660,531,128,772, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

660:2x 2x 3x 5x 11

531:3x 3x 59

128:2x 2x 2x 2x 2x 2x 2

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 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 28397465395200/(1x960)

LCM = 28397465395200/960

LCM = 29580693120

Thus, we can understand that the LCM of 820,660,531,128,772 is 29580693120.

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

• LCM of 580, 349, 208, 811, 247
• LCM of 738, 879, 328, 385, 830
• LCM of 993, 425, 613, 463, 985
• LCM of 895, 380, 287, 948, 393
• LCM of 235, 734, 316, 444, 555

1. What is the LCM of 820, 660, 531, 128, 772?

Answer: LCM of 820, 660, 531, 128, 772 is 29580693120.

2. How to calculate the LCM of 820, 660, 531, 128, 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 820, 660, 531, 128, 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}.