Given numbers are 864,271,694,214,611

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

The LCM of 864,271,694,214,611 is 5311748403936.

Find LCM of 864,271,694,214,611 with Prime Factorization

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

2 x 432 x 271 x 347 x 107 x 611 = 5311748403936

Therefore, the lowest common multiple of 864,271,694,214,611 is 5311748403936.

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.

864 x 271 x 694 x 214 x 611 = 21246993615744

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.

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

271 : 1, 271

694 : 1, 2, 347, 694

214 : 1, 2, 107, 214

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,271,694,214,611, is 1.

Now, the common factors can be found like this.

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

271:271

694:2x 347

214:2x 107

611:13x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21246993615744/(1x4)

LCM = 21246993615744/4

LCM = 5311748403936

Thus, we can understand that the LCM of 864,271,694,214,611 is 5311748403936.

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

• LCM of 893, 270, 598, 301, 696
• LCM of 148, 289, 850, 401, 659
• LCM of 135, 918, 635, 351, 151
• LCM of 421, 778, 912, 902, 527
• LCM of 289, 186, 226, 323, 174

1. What is the LCM of 864, 271, 694, 214, 611?

Answer: LCM of 864, 271, 694, 214, 611 is 5311748403936.

2. How to calculate the LCM of 864, 271, 694, 214, 611?

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 864, 271, 694, 214, 611.

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}.