Given numbers are 782,305,121,816,772

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

The LCM of 782,305,121,816,772 is 133678176720.

Find LCM of 782,305,121,816,772 with Prime Factorization

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

2 x 2 x 17 x 23 x 305 x 121 x 12 x 193 = 133678176720

Therefore, the lowest common multiple of 782,305,121,816,772 is 133678176720.

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.

782 x 305 x 121 x 816 x 772 = 18180232033920

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.

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

305 : 1, 5, 61, 305

121 : 1, 11, 121

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

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 782,305,121,816,772, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

305:5x 61

121:11x 11

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

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 17 = 136

Therefore, the value for common factors is 136.

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 = 18180232033920/(1x136)

LCM = 18180232033920/136

LCM = 133678176720

Thus, we can understand that the LCM of 782,305,121,816,772 is 133678176720.

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

• LCM of 270, 892, 968, 884, 485
• LCM of 483, 946, 783, 886, 114
• LCM of 899, 920, 646, 935, 585
• LCM of 274, 280, 537, 276, 295
• LCM of 623, 370, 179, 798, 896

1. What is the LCM of 782, 305, 121, 816, 772?

Answer: LCM of 782, 305, 121, 816, 772 is 133678176720.

2. How to calculate the LCM of 782, 305, 121, 816, 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 782, 305, 121, 816, 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}.