Given numbers are 271,286,507,182

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

The LCM of 271,286,507,182 is 21159138.

Find LCM of 271,286,507,182 with Prime Factorization

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

2 x 13 x 271 x 11 x 39 x 7 = 21159138

Therefore, the lowest common multiple of 271,286,507,182 is 21159138.

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 286 x 507 x 182 = 7151788644

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

507 : 1, 3, 13, 39, 169, 507

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,286,507,182, is 1.

Now, the common factors can be found like this.

271:271

286:2x 11x 13

507:3x 13x 13

182:2x 7x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 7151788644/(1x338)

LCM = 7151788644/338

LCM = 21159138

Thus, we can understand that the LCM of 271,286,507,182 is 21159138.

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

• LCM of 455, 819, 933, 389
• LCM of 212, 240, 535, 155
• LCM of 391, 194, 187, 580
• LCM of 110, 176, 266, 873
• LCM of 614, 270, 651, 407

1. What is the LCM of 271, 286, 507, 182?

Answer: LCM of 271, 286, 507, 182 is 21159138.

2. How to calculate the LCM of 271, 286, 507, 182?

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, 286, 507, 182.

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}.