Given numbers are 771,207,864,224

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

The LCM of 771,207,864,224 is 35749728.

Find LCM of 771,207,864,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 257 x 23 x 3 x 7 = 35749728

Therefore, the lowest common multiple of 771,207,864,224 is 35749728.

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.

771 x 207 x 864 x 224 = 30887764992

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.

771 : 1, 3, 257, 771

207 : 1, 3, 9, 23, 69, 207

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,207,864,224, is 1.

Now, the common factors can be found like this.

771:3x 257

207:3x 3x 23

864:2x 2x 2x 2x 2x 3x 3x 3

224:2x 2x 2x 2x 2x 7

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 = 30887764992/(1x864)

LCM = 30887764992/864

LCM = 35749728

Thus, we can understand that the LCM of 771,207,864,224 is 35749728.

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

• LCM of 995, 820, 495, 497
• LCM of 546, 506, 998, 893
• LCM of 489, 429, 609, 109
• LCM of 740, 257, 943, 300
• LCM of 570, 512, 704, 924

1. What is the LCM of 771, 207, 864, 224?

Answer: LCM of 771, 207, 864, 224 is 35749728.

2. How to calculate the LCM of 771, 207, 864, 224?

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 771, 207, 864, 224.

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}.