Given numbers are 271,708,864,578

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

The LCM of 271,708,864,578 is 3992389344.

Find LCM of 271,708,864,578 with Prime Factorization

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

2 x 2 x 3 x 271 x 59 x 72 x 289 = 3992389344

Therefore, the lowest common multiple of 271,708,864,578 is 3992389344.

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.

271 x 708 x 864 x 578 = 95817344256

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.

271 : 1, 271

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,708,864,578, is 1.

Now, the common factors can be found like this.

271:271

708:2x 2x 3x 59

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

578:2x 17x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 95817344256/(1x24)

LCM = 95817344256/24

LCM = 3992389344

Thus, we can understand that the LCM of 271,708,864,578 is 3992389344.

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

• LCM of 971, 692, 100, 109
• LCM of 919, 788, 298, 367
• LCM of 998, 424, 970, 211
• LCM of 364, 657, 783, 473
• LCM of 558, 958, 912, 854

1. What is the LCM of 271, 708, 864, 578?

Answer: LCM of 271, 708, 864, 578 is 3992389344.

2. How to calculate the LCM of 271, 708, 864, 578?

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 271, 708, 864, 578.

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}.