Given numbers are 876,672,312,270,547

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

The LCM of 876,672,312,270,547 is 15697674720.

Find LCM of 876,672,312,270,547 with Prime Factorization

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

2 x 2 x 2 x 3 x 73 x 28 x 13 x 45 x 547 = 15697674720

Therefore, the lowest common multiple of 876,672,312,270,547 is 15697674720.

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.

876 x 672 x 312 x 270 x 547 = 27125581916160

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.

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,672,312,270,547, is 1.

Now, the common factors can be found like this.

876:2x 2x 3x 73

672:2x 2x 2x 2x 2x 3x 7

312:2x 2x 2x 3x 13

270:2x 3x 3x 3x 5

547:547

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 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 27125581916160/(1x1728)

LCM = 27125581916160/1728

LCM = 15697674720

Thus, we can understand that the LCM of 876,672,312,270,547 is 15697674720.

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

• LCM of 500, 152, 917, 658, 651
• LCM of 433, 517, 566, 620, 440
• LCM of 423, 884, 576, 926, 156
• LCM of 873, 264, 457, 376, 237
• LCM of 822, 909, 645, 948, 459

1. What is the LCM of 876, 672, 312, 270, 547?

Answer: LCM of 876, 672, 312, 270, 547 is 15697674720.

2. How to calculate the LCM of 876, 672, 312, 270, 547?

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 876, 672, 312, 270, 547.

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}.