Given numbers are 214,310,713,282

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

The LCM of 214,310,713,282 is 107570310.

Find LCM of 214,310,713,282 with Prime Factorization

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

2 x 31 x 107 x 5 x 23 x 141 = 107570310

Therefore, the lowest common multiple of 214,310,713,282 is 107570310.

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 310 x 713 x 282 = 13338718440

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

713 : 1, 23, 31, 713

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,310,713,282, is 1.

Now, the common factors can be found like this.

214:2x 107

310:2x 5x 31

713:23x 31

282:2x 3x 47

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 31 = 124

Therefore, the value for common factors is 124.

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 = 13338718440/(1x124)

LCM = 13338718440/124

LCM = 107570310

Thus, we can understand that the LCM of 214,310,713,282 is 107570310.

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

• LCM of 725, 692, 189, 296
• LCM of 361, 482, 795, 784
• LCM of 914, 647, 691, 255
• LCM of 623, 991, 629, 527
• LCM of 844, 984, 764, 636

1. What is the LCM of 214, 310, 713, 282?

Answer: LCM of 214, 310, 713, 282 is 107570310.

2. How to calculate the LCM of 214, 310, 713, 282?

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, 310, 713, 282.

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}.