Given numbers are 214,287,686,271

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

The LCM of 214,287,686,271 is 815569622.

Find LCM of 214,287,686,271 with Prime Factorization

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

2 x 7 x 107 x 41 x 49 x 271 = 815569622

Therefore, the lowest common multiple of 214,287,686,271 is 815569622.

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.

214 x 287 x 686 x 271 = 11417974708

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.

214 : 1, 2, 107, 214

287 : 1, 7, 41, 287

686 : 1, 2, 7, 14, 49, 98, 343, 686

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,287,686,271, is 1.

Now, the common factors can be found like this.

214:2x 107

287:7x 41

686:2x 7x 7x 7

271:271

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 11417974708/(1x14)

LCM = 11417974708/14

LCM = 815569622

Thus, we can understand that the LCM of 214,287,686,271 is 815569622.

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

• LCM of 523, 805, 562, 275
• LCM of 175, 580, 875, 254
• LCM of 970, 753, 665, 462
• LCM of 830, 940, 377, 750
• LCM of 144, 585, 747, 225

1. What is the LCM of 214, 287, 686, 271?

Answer: LCM of 214, 287, 686, 271 is 815569622.

2. How to calculate the LCM of 214, 287, 686, 271?

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 214, 287, 686, 271.

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}.