Given numbers are 271,488,612,142,491

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

The LCM of 271,488,612,142,491 is 705375521784.

Find LCM of 271,488,612,142,491 with Prime Factorization

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

2 x 2 x 271 x 122 x 153 x 71 x 491 = 705375521784

Therefore, the lowest common multiple of 271,488,612,142,491 is 705375521784.

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 488 x 612 x 142 x 491 = 5643004174272

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

142 : 1, 2, 71, 142

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,488,612,142,491, is 1.

Now, the common factors can be found like this.

271:271

488:2x 2x 2x 61

612:2x 2x 3x 3x 17

142:2x 71

491:491

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5643004174272/(1x8)

LCM = 5643004174272/8

LCM = 705375521784

Thus, we can understand that the LCM of 271,488,612,142,491 is 705375521784.

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

• LCM of 823, 810, 261, 499, 791
• LCM of 770, 225, 248, 417, 651
• LCM of 302, 146, 970, 186, 778
• LCM of 414, 754, 905, 552, 897
• LCM of 795, 189, 624, 132, 943

1. What is the LCM of 271, 488, 612, 142, 491?

Answer: LCM of 271, 488, 612, 142, 491 is 705375521784.

2. How to calculate the LCM of 271, 488, 612, 142, 491?

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, 488, 612, 142, 491.

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}.