Given numbers are 272,571,782,414,211

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

The LCM of 272,571,782,414,211 is 6783562224.

Find LCM of 272,571,782,414,211 with Prime Factorization

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

2 x 17 x 23 x 8 x 571 x 1 x 9 x 211 = 6783562224

Therefore, the lowest common multiple of 272,571,782,414,211 is 6783562224.

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.

272 x 571 x 782 x 414 x 211 = 10609491318336

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

571 : 1, 571

782 : 1, 2, 17, 23, 34, 46, 391, 782

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,571,782,414,211, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

571:571

782:2x 17x 23

414:2x 3x 3x 23

211:211

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 17x 23 = 1564

Therefore, the value for common factors is 1564.

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 = 10609491318336/(1x1564)

LCM = 10609491318336/1564

LCM = 6783562224

Thus, we can understand that the LCM of 272,571,782,414,211 is 6783562224.

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

• LCM of 595, 957, 690, 490, 814
• LCM of 334, 748, 570, 161, 848
• LCM of 595, 475, 709, 342, 504
• LCM of 536, 155, 377, 988, 346
• LCM of 511, 767, 105, 994, 951

1. What is the LCM of 272, 571, 782, 414, 211?

Answer: LCM of 272, 571, 782, 414, 211 is 6783562224.

2. How to calculate the LCM of 272, 571, 782, 414, 211?

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 272, 571, 782, 414, 211.

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}.