Given numbers are 774,239,146,816,528

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

The LCM of 774,239,146,816,528 is 20201951088.

Find LCM of 774,239,146,816,528 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 129 x 239 x 73 x 17 x 11 = 20201951088

Therefore, the lowest common multiple of 774,239,146,816,528 is 20201951088.

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.

774 x 239 x 146 x 816 x 528 = 11636323826688

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

239 : 1, 239

146 : 1, 2, 73, 146

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,239,146,816,528, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

239:239

146:2x 73

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

528:2x 2x 2x 2x 3x 11

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 3 = 576

Therefore, the value for common factors is 576.

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 = 11636323826688/(1x576)

LCM = 11636323826688/576

LCM = 20201951088

Thus, we can understand that the LCM of 774,239,146,816,528 is 20201951088.

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

• LCM of 347, 216, 524, 209, 890
• LCM of 971, 605, 754, 663, 580
• LCM of 672, 703, 584, 846, 872
• LCM of 755, 380, 201, 584, 891
• LCM of 165, 196, 555, 366, 606

1. What is the LCM of 774, 239, 146, 816, 528?

Answer: LCM of 774, 239, 146, 816, 528 is 20201951088.

2. How to calculate the LCM of 774, 239, 146, 816, 528?

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 774, 239, 146, 816, 528.

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}.