Given numbers are 271,319,701,406,812

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

The LCM of 271,319,701,406,812 is 1696820972.

Find LCM of 271,319,701,406,812 with Prime Factorization

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

2 x 7 x 29 x 271 x 11 x 701 x 1 x 2 = 1696820972

Therefore, the lowest common multiple of 271,319,701,406,812 is 1696820972.

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 319 x 701 x 406 x 812 = 19978370124328

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

319 : 1, 11, 29, 319

701 : 1, 701

406 : 1, 2, 7, 14, 29, 58, 203, 406

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,319,701,406,812, is 1.

Now, the common factors can be found like this.

271:271

319:11x 29

701:701

406:2x 7x 29

812:2x 2x 7x 29

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

2x 7x 29x 29 = 11774

Therefore, the value for common factors is 11774.

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 = 19978370124328/(1x11774)

LCM = 19978370124328/11774

LCM = 1696820972

Thus, we can understand that the LCM of 271,319,701,406,812 is 1696820972.

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

• LCM of 334, 353, 305, 541, 212
• LCM of 478, 149, 380, 988, 941
• LCM of 208, 910, 912, 160, 625
• LCM of 361, 665, 746, 779, 681
• LCM of 518, 592, 778, 354, 823

1. What is the LCM of 271, 319, 701, 406, 812?

Answer: LCM of 271, 319, 701, 406, 812 is 1696820972.

2. How to calculate the LCM of 271, 319, 701, 406, 812?

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, 319, 701, 406, 812.

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}.